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Simplifying -6(7m + -2) + -7 = -4m + 5 Reorder the terms: -6(-2 + 7m) + -7 = -4m + 5 (-2 * -6 + 7m * -6) + -7 = -4m + 5 (12 + -42m) + -7 = -4m + 5 Reorder the terms: 12 + -7 + -42m = -4m + 5 Combine like terms: 12 + -7 = 5 5 + -42m = -4m + 5 Reorder the terms: 5 + -42m = 5 + -4m Add '-5' to each side of the equation. 5 + -5 + -42m = 5 + -5 + -4m Combine like terms: 5 + -5 = 0 0 + -42m = 5 + -5 + -4m -42m = 5 + -5 + -4m Combine like terms: 5 + -5 = 0 -42m = 0 + -4m -42m = -4m Solving -42m = -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -42m + 4m = -4m + 4m Combine like terms: -42m + 4m = -38m -38m = -4m + 4m Combine like terms: -4m + 4m = 0 -38m = 0 Divide each side by '-38'. m = 0 Simplifying m = 0
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