Answer:
m = -32.5
Explanation:
Step 1: Distribute the - to (2.7m - 3.4):
0.6m - 1.4 = 3.5m + 1.7 + (-1 * 2.7m + -1 * -3.4)
0.6m - 1.4 = 3.5m + 1.7 - 2.7m + 3.4
Step 2: Combine like terms on the right-hand side of the equation:
0.6m - 1.4 = (3.5m - 2.7m) + (1.7 + 3.4)
0.6m - 1.4 = 0.8m + 5.1
Step 3: Add 1.4 to both sides:
(0.6m - 1.4 = 0.8m + 5.1) + 1.4
0.6m = 0.8m + 6.5
Step 4: Subtract 0.8m from both sides:
(0.6m = 0.8m + 6.5) - 0.8m
-0.2m = 6.5
Step 5: Divide both sides by -0.2 to solve for m:
(-0.2m = 6.5) / -0.2
m = -32.5
Thus, m = -32.5