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Simplifying 42 = -2(m + 6) + m Reorder the terms: 42 = -2(6 + m) + m 42 = (6 * -2 + m * -2) + m 42 = (-12 + -2m) + m Combine like terms: -2m + m = -1m 42 = -12 + -1m Solving 42 = -12 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 42 + m = -12 + -1m + m Combine like terms: -1m + m = 0 42 + m = -12 + 0 42 + m = -12 Add '-42' to each side of the equation. 42 + -42 + m = -12 + -42 Combine like terms: 42 + -42 = 0 0 + m = -12 + -42 m = -12 + -42 Combine like terms: -12 + -42 = -54 m = -54 Simplifying m = -54
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