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Simplifying -11(m + -7) + 2 = 4 + -1(m + 5) Reorder the terms: -11(-7 + m) + 2 = 4 + -1(m + 5) (-7 * -11 + m * -11) + 2 = 4 + -1(m + 5) (77 + -11m) + 2 = 4 + -1(m + 5) Reorder the terms: 77 + 2 + -11m = 4 + -1(m + 5) Combine like terms: 77 + 2 = 79 79 + -11m = 4 + -1(m + 5) Reorder the terms: 79 + -11m = 4 + -1(5 + m) 79 + -11m = 4 + (5 * -1 + m * -1) 79 + -11m = 4 + (-5 + -1m) Combine like terms: 4 + -5 = -1 79 + -11m = -1 + -1m Solving 79 + -11m = -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. 79 + -11m + m = -1 + -1m + m Combine like terms: -11m + m = -10m 79 + -10m = -1 + -1m + m Combine like terms: -1m + m = 0 79 + -10m = -1 + 0 79 + -10m = -1 Add '-79' to each side of the equation. 79 + -79 + -10m = -1 + -79 Combine like terms: 79 + -79 = 0 0 + -10m = -1 + -79 -10m = -1 + -79 Combine like terms: -1 + -79 = -80 -10m = -80 Divide each side by '-10'. m = 8 Simplifying m = 8
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