Answer/Step-by-step explanation:
Combine multiplied terms into a single fraction
2.7z+1.2z−6.5=0.7
2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7
Combine multiplied terms into a single fraction
2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7
2 7 /1 0 + 6 5 − 6 . 5= 0 . 7
Find common denominator
2 7 /1 0 + 6 5 − 6 . 5= 0 . 7

Combine fractions with common denominator

Multiply the numbers

Combine like terms

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator
39z-65=10*0.7
Multiply the numbers
39z-65=7
Add 65 to both sides of the equation
39z-65+65=7+65
Simplify
39z=72
Divide both sides of the equation by the same term

Simplify
Z= 1.846153846