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Simplifying -42 = 2(4m + 7) Reorder the terms: -42 = 2(7 + 4m) -42 = (7 * 2 + 4m * 2) -42 = (14 + 8m) Solving -42 = 14 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -42 + -8m = 14 + 8m + -8m Combine like terms: 8m + -8m = 0 -42 + -8m = 14 + 0 -42 + -8m = 14 Add '42' to each side of the equation. -42 + 42 + -8m = 14 + 42 Combine like terms: -42 + 42 = 0 0 + -8m = 14 + 42 -8m = 14 + 42 Combine like terms: 14 + 42 = 56 -8m = 56 Divide each side by '-8'. m = -7 Simplifying m = -7
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