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Simplifying 3(m + -5) = 2(5m + -11) Reorder the terms: 3(-5 + m) = 2(5m + -11) (-5 * 3 + m * 3) = 2(5m + -11) (-15 + 3m) = 2(5m + -11) Reorder the terms: -15 + 3m = 2(-11 + 5m) -15 + 3m = (-11 * 2 + 5m * 2) -15 + 3m = (-22 + 10m) Solving -15 + 3m = -22 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -15 + 3m + -10m = -22 + 10m + -10m Combine like terms: 3m + -10m = -7m -15 + -7m = -22 + 10m + -10m Combine like terms: 10m + -10m = 0 -15 + -7m = -22 + 0 -15 + -7m = -22 Add '15' to each side of the equation. -15 + 15 + -7m = -22 + 15 Combine like terms: -15 + 15 = 0 0 + -7m = -22 + 15 -7m = -22 + 15 Combine like terms: -22 + 15 = -7 -7m = -7 Divide each side by '-7'. m = 1 Simplifying m = 1
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