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Simplifying 5(m + 3) + -7(4m + -3) = 0 Reorder the terms: 5(3 + m) + -7(4m + -3) = 0 (3 * 5 + m * 5) + -7(4m + -3) = 0 (15 + 5m) + -7(4m + -3) = 0 Reorder the terms: 15 + 5m + -7(-3 + 4m) = 0 15 + 5m + (-3 * -7 + 4m * -7) = 0 15 + 5m + (21 + -28m) = 0 Reorder the terms: 15 + 21 + 5m + -28m = 0 Combine like terms: 15 + 21 = 36 36 + 5m + -28m = 0 Combine like terms: 5m + -28m = -23m 36 + -23m = 0 Solving 36 + -23m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -23m = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -23m = 0 + -36 -23m = 0 + -36 Combine like terms: 0 + -36 = -36 -23m = -36 Divide each side by '-23'. m = 1.565217391 Simplifying m = 1.565217391
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