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Simplifying -3(2m + 1) + 2(m + -8) = 3(m + -4) Reorder the terms: -3(1 + 2m) + 2(m + -8) = 3(m + -4) (1 * -3 + 2m * -3) + 2(m + -8) = 3(m + -4) (-3 + -6m) + 2(m + -8) = 3(m + -4) Reorder the terms: -3 + -6m + 2(-8 + m) = 3(m + -4) -3 + -6m + (-8 * 2 + m * 2) = 3(m + -4) -3 + -6m + (-16 + 2m) = 3(m + -4) Reorder the terms: -3 + -16 + -6m + 2m = 3(m + -4) Combine like terms: -3 + -16 = -19 -19 + -6m + 2m = 3(m + -4) Combine like terms: -6m + 2m = -4m -19 + -4m = 3(m + -4) Reorder the terms: -19 + -4m = 3(-4 + m) -19 + -4m = (-4 * 3 + m * 3) -19 + -4m = (-12 + 3m) Solving -19 + -4m = -12 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -19 + -4m + -3m = -12 + 3m + -3m Combine like terms: -4m + -3m = -7m -19 + -7m = -12 + 3m + -3m Combine like terms: 3m + -3m = 0 -19 + -7m = -12 + 0 -19 + -7m = -12 Add '19' to each side of the equation. -19 + 19 + -7m = -12 + 19 Combine like terms: -19 + 19 = 0 0 + -7m = -12 + 19 -7m = -12 + 19 Combine like terms: -12 + 19 = 7 -7m = 7 Divide each side by '-7'. m = -1 Simplifying m = -1
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