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Simplifying -2m + -4(1 + 4m) = -7(m + -1) -2m + (1 * -4 + 4m * -4) = -7(m + -1) -2m + (-4 + -16m) = -7(m + -1) Reorder the terms: -4 + -2m + -16m = -7(m + -1) Combine like terms: -2m + -16m = -18m -4 + -18m = -7(m + -1) Reorder the terms: -4 + -18m = -7(-1 + m) -4 + -18m = (-1 * -7 + m * -7) -4 + -18m = (7 + -7m) Solving -4 + -18m = 7 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -4 + -18m + 7m = 7 + -7m + 7m Combine like terms: -18m + 7m = -11m -4 + -11m = 7 + -7m + 7m Combine like terms: -7m + 7m = 0 -4 + -11m = 7 + 0 -4 + -11m = 7 Add '4' to each side of the equation. -4 + 4 + -11m = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -11m = 7 + 4 -11m = 7 + 4 Combine like terms: 7 + 4 = 11 -11m = 11 Divide each side by '-11'. m = -1 Simplifying m = -1
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