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Simplifying -77 = -5(7m + -4) + -2(m + -7) Reorder the terms: -77 = -5(-4 + 7m) + -2(m + -7) -77 = (-4 * -5 + 7m * -5) + -2(m + -7) -77 = (20 + -35m) + -2(m + -7) Reorder the terms: -77 = 20 + -35m + -2(-7 + m) -77 = 20 + -35m + (-7 * -2 + m * -2) -77 = 20 + -35m + (14 + -2m) Reorder the terms: -77 = 20 + 14 + -35m + -2m Combine like terms: 20 + 14 = 34 -77 = 34 + -35m + -2m Combine like terms: -35m + -2m = -37m -77 = 34 + -37m Solving -77 = 34 + -37m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '37m' to each side of the equation. -77 + 37m = 34 + -37m + 37m Combine like terms: -37m + 37m = 0 -77 + 37m = 34 + 0 -77 + 37m = 34 Add '77' to each side of the equation. -77 + 77 + 37m = 34 + 77 Combine like terms: -77 + 77 = 0 0 + 37m = 34 + 77 37m = 34 + 77 Combine like terms: 34 + 77 = 111 37m = 111 Divide each side by '37'. m = 3 Simplifying m = 3
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