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Solve the multiplication or division using the properties of equality

Solve the multiplication or division using the properties of equality-example-1

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1. First, we can use the multiplication property of equalities, ie. if A = B then A*C = B*C. In the context of our problem, A would be (-3/14)b and B would be 2/7. We want to get rid of the denominators on both fractions, thus we should multiply them by 14 (C). Thus:

(-3/14)b*14 = (2/7)*14

-3b = 4

2. Now we can use the division property of equalities, ie. if A = B, then A/C = B/C. Here, A would be -3b and B would be 4. Since we want to get b by itself, we should divide both sides of the equation by -3. Thus:

-3b/-3 = 4/-3

b = -4/3 (Note that a negative number divided by a negative number is positive)

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