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Simplifying -2(m + 5) + -3(m + 9) = -77 Reorder the terms: -2(5 + m) + -3(m + 9) = -77 (5 * -2 + m * -2) + -3(m + 9) = -77 (-10 + -2m) + -3(m + 9) = -77 Reorder the terms: -10 + -2m + -3(9 + m) = -77 -10 + -2m + (9 * -3 + m * -3) = -77 -10 + -2m + (-27 + -3m) = -77 Reorder the terms: -10 + -27 + -2m + -3m = -77 Combine like terms: -10 + -27 = -37 -37 + -2m + -3m = -77 Combine like terms: -2m + -3m = -5m -37 + -5m = -77 Solving -37 + -5m = -77 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -5m = -77 + 37 Combine like terms: -37 + 37 = 0 0 + -5m = -77 + 37 -5m = -77 + 37 Combine like terms: -77 + 37 = -40 -5m = -40 Divide each side by '-5'. m = 8 Simplifying m = 8
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