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Simplifying 5(3m + -7) = 5m(6) + -3 Reorder the terms: 5(-7 + 3m) = 5m(6) + -3 (-7 * 5 + 3m * 5) = 5m(6) + -3 (-35 + 15m) = 5m(6) + -3 Reorder the terms for easier multiplication: -35 + 15m = 5 * 6m + -3 Multiply 5 * 6 -35 + 15m = 30m + -3 Reorder the terms: -35 + 15m = -3 + 30m Solving -35 + 15m = -3 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. -35 + 15m + -30m = -3 + 30m + -30m Combine like terms: 15m + -30m = -15m -35 + -15m = -3 + 30m + -30m Combine like terms: 30m + -30m = 0 -35 + -15m = -3 + 0 -35 + -15m = -3 Add '35' to each side of the equation. -35 + 35 + -15m = -3 + 35 Combine like terms: -35 + 35 = 0 0 + -15m = -3 + 35 -15m = -3 + 35 Combine like terms: -3 + 35 = 32 -15m = 32 Divide each side by '-15'. m = -2.133333333 Simplifying m = -2.133333333
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