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Simplifying -6(7 + 8m) = -2m + 4 (7 * -6 + 8m * -6) = -2m + 4 (-42 + -48m) = -2m + 4 Reorder the terms: -42 + -48m = 4 + -2m Solving -42 + -48m = 4 + -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. -42 + -48m + 2m = 4 + -2m + 2m Combine like terms: -48m + 2m = -46m -42 + -46m = 4 + -2m + 2m Combine like terms: -2m + 2m = 0 -42 + -46m = 4 + 0 -42 + -46m = 4 Add '42' to each side of the equation. -42 + 42 + -46m = 4 + 42 Combine like terms: -42 + 42 = 0 0 + -46m = 4 + 42 -46m = 4 + 42 Combine like terms: 4 + 42 = 46 -46m = 46 Divide each side by '-46'. m = -1 Simplifying m = -1
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