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Simplifying 2(m + -2) = 4(m + 7) + -16 Reorder the terms: 2(-2 + m) = 4(m + 7) + -16 (-2 * 2 + m * 2) = 4(m + 7) + -16 (-4 + 2m) = 4(m + 7) + -16 Reorder the terms: -4 + 2m = 4(7 + m) + -16 -4 + 2m = (7 * 4 + m * 4) + -16 -4 + 2m = (28 + 4m) + -16 Reorder the terms: -4 + 2m = 28 + -16 + 4m Combine like terms: 28 + -16 = 12 -4 + 2m = 12 + 4m Solving -4 + 2m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -4 + 2m + -4m = 12 + 4m + -4m Combine like terms: 2m + -4m = -2m -4 + -2m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 -4 + -2m = 12 + 0 -4 + -2m = 12 Add '4' to each side of the equation. -4 + 4 + -2m = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2m = 12 + 4 -2m = 12 + 4 Combine like terms: 12 + 4 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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