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Simplifying -5(m + 8) + -3(4m + -2) = -18(m + 3) + -10 Reorder the terms: -5(8 + m) + -3(4m + -2) = -18(m + 3) + -10 (8 * -5 + m * -5) + -3(4m + -2) = -18(m + 3) + -10 (-40 + -5m) + -3(4m + -2) = -18(m + 3) + -10 Reorder the terms: -40 + -5m + -3(-2 + 4m) = -18(m + 3) + -10 -40 + -5m + (-2 * -3 + 4m * -3) = -18(m + 3) + -10 -40 + -5m + (6 + -12m) = -18(m + 3) + -10 Reorder the terms: -40 + 6 + -5m + -12m = -18(m + 3) + -10 Combine like terms: -40 + 6 = -34 -34 + -5m + -12m = -18(m + 3) + -10 Combine like terms: -5m + -12m = -17m -34 + -17m = -18(m + 3) + -10 Reorder the terms: -34 + -17m = -18(3 + m) + -10 -34 + -17m = (3 * -18 + m * -18) + -10 -34 + -17m = (-54 + -18m) + -10 Reorder the terms: -34 + -17m = -54 + -10 + -18m Combine like terms: -54 + -10 = -64 -34 + -17m = -64 + -18m Solving -34 + -17m = -64 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. -34 + -17m + 18m = -64 + -18m + 18m Combine like terms: -17m + 18m = 1m -34 + 1m = -64 + -18m + 18m Combine like terms: -18m + 18m = 0 -34 + 1m = -64 + 0 -34 + 1m = -64 Add '34' to each side of the equation. -34 + 34 + 1m = -64 + 34 Combine like terms: -34 + 34 = 0 0 + 1m = -64 + 34 1m = -64 + 34 Combine like terms: -64 + 34 = -30 1m = -30 Divide each side by '1'. m = -30 Simplifying m = -30
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