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Simplifying -7(6m + 12) + 7m = -4 + -15m + -10m Reorder the terms: -7(12 + 6m) + 7m = -4 + -15m + -10m (12 * -7 + 6m * -7) + 7m = -4 + -15m + -10m (-84 + -42m) + 7m = -4 + -15m + -10m Combine like terms: -42m + 7m = -35m -84 + -35m = -4 + -15m + -10m Combine like terms: -15m + -10m = -25m -84 + -35m = -4 + -25m Solving -84 + -35m = -4 + -25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25m' to each side of the equation. -84 + -35m + 25m = -4 + -25m + 25m Combine like terms: -35m + 25m = -10m -84 + -10m = -4 + -25m + 25m Combine like terms: -25m + 25m = 0 -84 + -10m = -4 + 0 -84 + -10m = -4 Add '84' to each side of the equation. -84 + 84 + -10m = -4 + 84 Combine like terms: -84 + 84 = 0 0 + -10m = -4 + 84 -10m = -4 + 84 Combine like terms: -4 + 84 = 80 -10m = 80 Divide each side by '-10'. m = -8 Simplifying m = -8
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