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Simplifying -52 = -2(m + 4) + 6m Reorder the terms: -52 = -2(4 + m) + 6m -52 = (4 * -2 + m * -2) + 6m -52 = (-8 + -2m) + 6m Combine like terms: -2m + 6m = 4m -52 = -8 + 4m Solving -52 = -8 + 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. -52 + -4m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 -52 + -4m = -8 + 0 -52 + -4m = -8 Add '52' to each side of the equation. -52 + 52 + -4m = -8 + 52 Combine like terms: -52 + 52 = 0 0 + -4m = -8 + 52 -4m = -8 + 52 Combine like terms: -8 + 52 = 44 -4m = 44 Divide each side by '-4'. m = -11 Simplifying m = -11
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