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Simplifying 6(1 + 3m) = -8(-2m + s) + -4 (1 * 6 + 3m * 6) = -8(-2m + s) + -4 (6 + 18m) = -8(-2m + s) + -4 6 + 18m = (-2m * -8 + s * -8) + -4 6 + 18m = (16m + -8s) + -4 Reorder the terms: 6 + 18m = -4 + 16m + -8s Solving 6 + 18m = -4 + 16m + -8s Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 6 + 18m + -16m = -4 + 16m + -16m + -8s Combine like terms: 18m + -16m = 2m 6 + 2m = -4 + 16m + -16m + -8s Combine like terms: 16m + -16m = 0 6 + 2m = -4 + 0 + -8s 6 + 2m = -4 + -8s Add '-6' to each side of the equation. 6 + -6 + 2m = -4 + -6 + -8s Combine like terms: 6 + -6 = 0 0 + 2m = -4 + -6 + -8s 2m = -4 + -6 + -8s Combine like terms: -4 + -6 = -10 2m = -10 + -8s Divide each side by '2'. m = -5 + -4s Simplifying m = -5 + -4s
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