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Simplifying 8(m + 8) + -6 = 2(7m + -4) Reorder the terms: 8(8 + m) + -6 = 2(7m + -4) (8 * 8 + m * 8) + -6 = 2(7m + -4) (64 + 8m) + -6 = 2(7m + -4) Reorder the terms: 64 + -6 + 8m = 2(7m + -4) Combine like terms: 64 + -6 = 58 58 + 8m = 2(7m + -4) Reorder the terms: 58 + 8m = 2(-4 + 7m) 58 + 8m = (-4 * 2 + 7m * 2) 58 + 8m = (-8 + 14m) Solving 58 + 8m = -8 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 58 + 8m + -14m = -8 + 14m + -14m Combine like terms: 8m + -14m = -6m 58 + -6m = -8 + 14m + -14m Combine like terms: 14m + -14m = 0 58 + -6m = -8 + 0 58 + -6m = -8 Add '-58' to each side of the equation. 58 + -58 + -6m = -8 + -58 Combine like terms: 58 + -58 = 0 0 + -6m = -8 + -58 -6m = -8 + -58 Combine like terms: -8 + -58 = -66 -6m = -66 Divide each side by '-6'. m = 11 Simplifying m = 11
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