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Simplifying 4.7(m + -1) = 2(3m + 5) + -17.69 Reorder the terms: 4.7(-1 + m) = 2(3m + 5) + -17.69 (-1 * 4.7 + m * 4.7) = 2(3m + 5) + -17.69 (-4.7 + 4.7m) = 2(3m + 5) + -17.69 Reorder the terms: -4.7 + 4.7m = 2(5 + 3m) + -17.69 -4.7 + 4.7m = (5 * 2 + 3m * 2) + -17.69 -4.7 + 4.7m = (10 + 6m) + -17.69 Reorder the terms: -4.7 + 4.7m = 10 + -17.69 + 6m Combine like terms: 10 + -17.69 = -7.69 -4.7 + 4.7m = -7.69 + 6m Solving -4.7 + 4.7m = -7.69 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -4.7 + 4.7m + -6m = -7.69 + 6m + -6m Combine like terms: 4.7m + -6m = -1.3m -4.7 + -1.3m = -7.69 + 6m + -6m Combine like terms: 6m + -6m = 0 -4.7 + -1.3m = -7.69 + 0 -4.7 + -1.3m = -7.69 Add '4.7' to each side of the equation. -4.7 + 4.7 + -1.3m = -7.69 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + -1.3m = -7.69 + 4.7 -1.3m = -7.69 + 4.7 Combine like terms: -7.69 + 4.7 = -2.99 -1.3m = -2.99 Divide each side by '-1.3'. m = 2.3 Simplifying m = 2.3
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