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Simplifying 4(2m + -4) + -1(m + -3) = -82 Reorder the terms: 4(-4 + 2m) + -1(m + -3) = -82 (-4 * 4 + 2m * 4) + -1(m + -3) = -82 (-16 + 8m) + -1(m + -3) = -82 Reorder the terms: -16 + 8m + -1(-3 + m) = -82 -16 + 8m + (-3 * -1 + m * -1) = -82 -16 + 8m + (3 + -1m) = -82 Reorder the terms: -16 + 3 + 8m + -1m = -82 Combine like terms: -16 + 3 = -13 -13 + 8m + -1m = -82 Combine like terms: 8m + -1m = 7m -13 + 7m = -82 Solving -13 + 7m = -82 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7m = -82 + 13 Combine like terms: -13 + 13 = 0 0 + 7m = -82 + 13 7m = -82 + 13 Combine like terms: -82 + 13 = -69 7m = -69 Divide each side by '7'. m = -9.857142857 Simplifying m = -9.857142857
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