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Simplifying 2(3m + -8) + 2m = 5(3m + -66) Reorder the terms: 2(-8 + 3m) + 2m = 5(3m + -66) (-8 * 2 + 3m * 2) + 2m = 5(3m + -66) (-16 + 6m) + 2m = 5(3m + -66) Combine like terms: 6m + 2m = 8m -16 + 8m = 5(3m + -66) Reorder the terms: -16 + 8m = 5(-66 + 3m) -16 + 8m = (-66 * 5 + 3m * 5) -16 + 8m = (-330 + 15m) Solving -16 + 8m = -330 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -16 + 8m + -15m = -330 + 15m + -15m Combine like terms: 8m + -15m = -7m -16 + -7m = -330 + 15m + -15m Combine like terms: 15m + -15m = 0 -16 + -7m = -330 + 0 -16 + -7m = -330 Add '16' to each side of the equation. -16 + 16 + -7m = -330 + 16 Combine like terms: -16 + 16 = 0 0 + -7m = -330 + 16 -7m = -330 + 16 Combine like terms: -330 + 16 = -314 -7m = -314 Divide each side by '-7'. m = 44.85714286 Simplifying m = 44.85714286
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