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Simplifying 6m + 4(6m + -4) = 26 + -8(2m + -12) Reorder the terms: 6m + 4(-4 + 6m) = 26 + -8(2m + -12) 6m + (-4 * 4 + 6m * 4) = 26 + -8(2m + -12) 6m + (-16 + 24m) = 26 + -8(2m + -12) Reorder the terms: -16 + 6m + 24m = 26 + -8(2m + -12) Combine like terms: 6m + 24m = 30m -16 + 30m = 26 + -8(2m + -12) Reorder the terms: -16 + 30m = 26 + -8(-12 + 2m) -16 + 30m = 26 + (-12 * -8 + 2m * -8) -16 + 30m = 26 + (96 + -16m) Combine like terms: 26 + 96 = 122 -16 + 30m = 122 + -16m Solving -16 + 30m = 122 + -16m 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. -16 + 30m + 16m = 122 + -16m + 16m Combine like terms: 30m + 16m = 46m -16 + 46m = 122 + -16m + 16m Combine like terms: -16m + 16m = 0 -16 + 46m = 122 + 0 -16 + 46m = 122 Add '16' to each side of the equation. -16 + 16 + 46m = 122 + 16 Combine like terms: -16 + 16 = 0 0 + 46m = 122 + 16 46m = 122 + 16 Combine like terms: 122 + 16 = 138 46m = 138 Divide each side by '46'. m = 3 Simplifying m = 3
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