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Simplifying -60 = -8(1 + 5m) + -2(m + 5) -60 = (1 * -8 + 5m * -8) + -2(m + 5) -60 = (-8 + -40m) + -2(m + 5) Reorder the terms: -60 = -8 + -40m + -2(5 + m) -60 = -8 + -40m + (5 * -2 + m * -2) -60 = -8 + -40m + (-10 + -2m) Reorder the terms: -60 = -8 + -10 + -40m + -2m Combine like terms: -8 + -10 = -18 -60 = -18 + -40m + -2m Combine like terms: -40m + -2m = -42m -60 = -18 + -42m Solving -60 = -18 + -42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42m' to each side of the equation. -60 + 42m = -18 + -42m + 42m Combine like terms: -42m + 42m = 0 -60 + 42m = -18 + 0 -60 + 42m = -18 Add '60' to each side of the equation. -60 + 60 + 42m = -18 + 60 Combine like terms: -60 + 60 = 0 0 + 42m = -18 + 60 42m = -18 + 60 Combine like terms: -18 + 60 = 42 42m = 42 Divide each side by '42'. m = 1 Simplifying m = 1
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