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Simplifying -101 = 5(-7 + 2m) + -6 -101 = (-7 * 5 + 2m * 5) + -6 -101 = (-35 + 10m) + -6 Reorder the terms: -101 = -35 + -6 + 10m Combine like terms: -35 + -6 = -41 -101 = -41 + 10m Solving -101 = -41 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -101 + -10m = -41 + 10m + -10m Combine like terms: 10m + -10m = 0 -101 + -10m = -41 + 0 -101 + -10m = -41 Add '101' to each side of the equation. -101 + 101 + -10m = -41 + 101 Combine like terms: -101 + 101 = 0 0 + -10m = -41 + 101 -10m = -41 + 101 Combine like terms: -41 + 101 = 60 -10m = 60 Divide each side by '-10'. m = -6 Simplifying m = -6
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