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Simplifying 7(m + 4) + 7(-5m + -9) = -29(m + 2) + -6 Reorder the terms: 7(4 + m) + 7(-5m + -9) = -29(m + 2) + -6 (4 * 7 + m * 7) + 7(-5m + -9) = -29(m + 2) + -6 (28 + 7m) + 7(-5m + -9) = -29(m + 2) + -6 Reorder the terms: 28 + 7m + 7(-9 + -5m) = -29(m + 2) + -6 28 + 7m + (-9 * 7 + -5m * 7) = -29(m + 2) + -6 28 + 7m + (-63 + -35m) = -29(m + 2) + -6 Reorder the terms: 28 + -63 + 7m + -35m = -29(m + 2) + -6 Combine like terms: 28 + -63 = -35 -35 + 7m + -35m = -29(m + 2) + -6 Combine like terms: 7m + -35m = -28m -35 + -28m = -29(m + 2) + -6 Reorder the terms: -35 + -28m = -29(2 + m) + -6 -35 + -28m = (2 * -29 + m * -29) + -6 -35 + -28m = (-58 + -29m) + -6 Reorder the terms: -35 + -28m = -58 + -6 + -29m Combine like terms: -58 + -6 = -64 -35 + -28m = -64 + -29m Solving -35 + -28m = -64 + -29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '29m' to each side of the equation. -35 + -28m + 29m = -64 + -29m + 29m Combine like terms: -28m + 29m = 1m -35 + 1m = -64 + -29m + 29m Combine like terms: -29m + 29m = 0 -35 + 1m = -64 + 0 -35 + 1m = -64 Add '35' to each side of the equation. -35 + 35 + 1m = -64 + 35 Combine like terms: -35 + 35 = 0 0 + 1m = -64 + 35 1m = -64 + 35 Combine like terms: -64 + 35 = -29 1m = -29 Divide each side by '1'. m = -29 Simplifying m = -29
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