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Simplifying -38 = -2(m + 1) Reorder the terms: -38 = -2(1 + m) -38 = (1 * -2 + m * -2) -38 = (-2 + -2m) Solving -38 = -2 + -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. -38 + 2m = -2 + -2m + 2m Combine like terms: -2m + 2m = 0 -38 + 2m = -2 + 0 -38 + 2m = -2 Add '38' to each side of the equation. -38 + 38 + 2m = -2 + 38 Combine like terms: -38 + 38 = 0 0 + 2m = -2 + 38 2m = -2 + 38 Combine like terms: -2 + 38 = 36 2m = 36 Divide each side by '2'. m = 18 Simplifying m = 18
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