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Simplifying 8(4m + 6) + 4m = 6(3m + -7) Reorder the terms: 8(6 + 4m) + 4m = 6(3m + -7) (6 * 8 + 4m * 8) + 4m = 6(3m + -7) (48 + 32m) + 4m = 6(3m + -7) Combine like terms: 32m + 4m = 36m 48 + 36m = 6(3m + -7) Reorder the terms: 48 + 36m = 6(-7 + 3m) 48 + 36m = (-7 * 6 + 3m * 6) 48 + 36m = (-42 + 18m) Solving 48 + 36m = -42 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 48 + 36m + -18m = -42 + 18m + -18m Combine like terms: 36m + -18m = 18m 48 + 18m = -42 + 18m + -18m Combine like terms: 18m + -18m = 0 48 + 18m = -42 + 0 48 + 18m = -42 Add '-48' to each side of the equation. 48 + -48 + 18m = -42 + -48 Combine like terms: 48 + -48 = 0 0 + 18m = -42 + -48 18m = -42 + -48 Combine like terms: -42 + -48 = -90 18m = -90 Divide each side by '18'. m = -5 Simplifying m = -5
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