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Simplifying -6(m + 1) + -13 = 7(m + 4) + 9 Reorder the terms: -6(1 + m) + -13 = 7(m + 4) + 9 (1 * -6 + m * -6) + -13 = 7(m + 4) + 9 (-6 + -6m) + -13 = 7(m + 4) + 9 Reorder the terms: -6 + -13 + -6m = 7(m + 4) + 9 Combine like terms: -6 + -13 = -19 -19 + -6m = 7(m + 4) + 9 Reorder the terms: -19 + -6m = 7(4 + m) + 9 -19 + -6m = (4 * 7 + m * 7) + 9 -19 + -6m = (28 + 7m) + 9 Reorder the terms: -19 + -6m = 28 + 9 + 7m Combine like terms: 28 + 9 = 37 -19 + -6m = 37 + 7m Solving -19 + -6m = 37 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -19 + -6m + -7m = 37 + 7m + -7m Combine like terms: -6m + -7m = -13m -19 + -13m = 37 + 7m + -7m Combine like terms: 7m + -7m = 0 -19 + -13m = 37 + 0 -19 + -13m = 37 Add '19' to each side of the equation. -19 + 19 + -13m = 37 + 19 Combine like terms: -19 + 19 = 0 0 + -13m = 37 + 19 -13m = 37 + 19 Combine like terms: 37 + 19 = 56 -13m = 56 Divide each side by '-13'. m = -4.307692308 Simplifying m = -4.307692308
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