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Simplifying 5(m + -11) = 3(1 + 4m) + -9 Reorder the terms: 5(-11 + m) = 3(1 + 4m) + -9 (-11 * 5 + m * 5) = 3(1 + 4m) + -9 (-55 + 5m) = 3(1 + 4m) + -9 -55 + 5m = (1 * 3 + 4m * 3) + -9 -55 + 5m = (3 + 12m) + -9 Reorder the terms: -55 + 5m = 3 + -9 + 12m Combine like terms: 3 + -9 = -6 -55 + 5m = -6 + 12m Solving -55 + 5m = -6 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -55 + 5m + -12m = -6 + 12m + -12m Combine like terms: 5m + -12m = -7m -55 + -7m = -6 + 12m + -12m Combine like terms: 12m + -12m = 0 -55 + -7m = -6 + 0 -55 + -7m = -6 Add '55' to each side of the equation. -55 + 55 + -7m = -6 + 55 Combine like terms: -55 + 55 = 0 0 + -7m = -6 + 55 -7m = -6 + 55 Combine like terms: -6 + 55 = 49 -7m = 49 Divide each side by '-7'. m = -7 Simplifying m = -7
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