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Simplifying -2(8m + 1) = 2(m + 8) Reorder the terms: -2(1 + 8m) = 2(m + 8) (1 * -2 + 8m * -2) = 2(m + 8) (-2 + -16m) = 2(m + 8) Reorder the terms: -2 + -16m = 2(8 + m) -2 + -16m = (8 * 2 + m * 2) -2 + -16m = (16 + 2m) Solving -2 + -16m = 16 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -2 + -16m + -2m = 16 + 2m + -2m Combine like terms: -16m + -2m = -18m -2 + -18m = 16 + 2m + -2m Combine like terms: 2m + -2m = 0 -2 + -18m = 16 + 0 -2 + -18m = 16 Add '2' to each side of the equation. -2 + 2 + -18m = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -18m = 16 + 2 -18m = 16 + 2 Combine like terms: 16 + 2 = 18 -18m = 18 Divide each side by '-18'. m = -1 Simplifying m = -1
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