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Simplifying -42 = -6(m + -6) + -7m Reorder the terms: -42 = -6(-6 + m) + -7m -42 = (-6 * -6 + m * -6) + -7m -42 = (36 + -6m) + -7m Combine like terms: -6m + -7m = -13m -42 = 36 + -13m Solving -42 = 36 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. -42 + 13m = 36 + -13m + 13m Combine like terms: -13m + 13m = 0 -42 + 13m = 36 + 0 -42 + 13m = 36 Add '42' to each side of the equation. -42 + 42 + 13m = 36 + 42 Combine like terms: -42 + 42 = 0 0 + 13m = 36 + 42 13m = 36 + 42 Combine like terms: 36 + 42 = 78 13m = 78 Divide each side by '13'. m = 6 Simplifying m = 6
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