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