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Simplifying 5(m + -3) + 21(m + -2) = -11 + -4(17 + -1m) Reorder the terms: 5(-3 + m) + 21(m + -2) = -11 + -4(17 + -1m) (-3 * 5 + m * 5) + 21(m + -2) = -11 + -4(17 + -1m) (-15 + 5m) + 21(m + -2) = -11 + -4(17 + -1m) Reorder the terms: -15 + 5m + 21(-2 + m) = -11 + -4(17 + -1m) -15 + 5m + (-2 * 21 + m * 21) = -11 + -4(17 + -1m) -15 + 5m + (-42 + 21m) = -11 + -4(17 + -1m) Reorder the terms: -15 + -42 + 5m + 21m = -11 + -4(17 + -1m) Combine like terms: -15 + -42 = -57 -57 + 5m + 21m = -11 + -4(17 + -1m) Combine like terms: 5m + 21m = 26m -57 + 26m = -11 + -4(17 + -1m) -57 + 26m = -11 + (17 * -4 + -1m * -4) -57 + 26m = -11 + (-68 + 4m) Combine like terms: -11 + -68 = -79 -57 + 26m = -79 + 4m Solving -57 + 26m = -79 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -57 + 26m + -4m = -79 + 4m + -4m Combine like terms: 26m + -4m = 22m -57 + 22m = -79 + 4m + -4m Combine like terms: 4m + -4m = 0 -57 + 22m = -79 + 0 -57 + 22m = -79 Add '57' to each side of the equation. -57 + 57 + 22m = -79 + 57 Combine like terms: -57 + 57 = 0 0 + 22m = -79 + 57 22m = -79 + 57 Combine like terms: -79 + 57 = -22 22m = -22 Divide each side by '22'. m = -1 Simplifying m = -1
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