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Simplifying 4(m + 4) + 7(2m + -6) = 9(m + -7) + 9 Reorder the terms: 4(4 + m) + 7(2m + -6) = 9(m + -7) + 9 (4 * 4 + m * 4) + 7(2m + -6) = 9(m + -7) + 9 (16 + 4m) + 7(2m + -6) = 9(m + -7) + 9 Reorder the terms: 16 + 4m + 7(-6 + 2m) = 9(m + -7) + 9 16 + 4m + (-6 * 7 + 2m * 7) = 9(m + -7) + 9 16 + 4m + (-42 + 14m) = 9(m + -7) + 9 Reorder the terms: 16 + -42 + 4m + 14m = 9(m + -7) + 9 Combine like terms: 16 + -42 = -26 -26 + 4m + 14m = 9(m + -7) + 9 Combine like terms: 4m + 14m = 18m -26 + 18m = 9(m + -7) + 9 Reorder the terms: -26 + 18m = 9(-7 + m) + 9 -26 + 18m = (-7 * 9 + m * 9) + 9 -26 + 18m = (-63 + 9m) + 9 Reorder the terms: -26 + 18m = -63 + 9 + 9m Combine like terms: -63 + 9 = -54 -26 + 18m = -54 + 9m Solving -26 + 18m = -54 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -26 + 18m + -9m = -54 + 9m + -9m Combine like terms: 18m + -9m = 9m -26 + 9m = -54 + 9m + -9m Combine like terms: 9m + -9m = 0 -26 + 9m = -54 + 0 -26 + 9m = -54 Add '26' to each side of the equation. -26 + 26 + 9m = -54 + 26 Combine like terms: -26 + 26 = 0 0 + 9m = -54 + 26 9m = -54 + 26 Combine like terms: -54 + 26 = -28 9m = -28 Divide each side by '9'. m = -3.111111111 Simplifying m = -3.111111111
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