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Simplifying -7(m + 2) + 3 = 5 + -1(m + 4) Reorder the terms: -7(2 + m) + 3 = 5 + -1(m + 4) (2 * -7 + m * -7) + 3 = 5 + -1(m + 4) (-14 + -7m) + 3 = 5 + -1(m + 4) Reorder the terms: -14 + 3 + -7m = 5 + -1(m + 4) Combine like terms: -14 + 3 = -11 -11 + -7m = 5 + -1(m + 4) Reorder the terms: -11 + -7m = 5 + -1(4 + m) -11 + -7m = 5 + (4 * -1 + m * -1) -11 + -7m = 5 + (-4 + -1m) Combine like terms: 5 + -4 = 1 -11 + -7m = 1 + -1m Solving -11 + -7m = 1 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -11 + -7m + m = 1 + -1m + m Combine like terms: -7m + m = -6m -11 + -6m = 1 + -1m + m Combine like terms: -1m + m = 0 -11 + -6m = 1 + 0 -11 + -6m = 1 Add '11' to each side of the equation. -11 + 11 + -6m = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -6m = 1 + 11 -6m = 1 + 11 Combine like terms: 1 + 11 = 12 -6m = 12 Divide each side by '-6'. m = -2 Simplifying m = -2
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