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Simplifying -7(m + -5) + 11 = -6m + 5(m + 2) Reorder the terms: -7(-5 + m) + 11 = -6m + 5(m + 2) (-5 * -7 + m * -7) + 11 = -6m + 5(m + 2) (35 + -7m) + 11 = -6m + 5(m + 2) Reorder the terms: 35 + 11 + -7m = -6m + 5(m + 2) Combine like terms: 35 + 11 = 46 46 + -7m = -6m + 5(m + 2) Reorder the terms: 46 + -7m = -6m + 5(2 + m) 46 + -7m = -6m + (2 * 5 + m * 5) 46 + -7m = -6m + (10 + 5m) Reorder the terms: 46 + -7m = 10 + -6m + 5m Combine like terms: -6m + 5m = -1m 46 + -7m = 10 + -1m Solving 46 + -7m = 10 + -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. 46 + -7m + m = 10 + -1m + m Combine like terms: -7m + m = -6m 46 + -6m = 10 + -1m + m Combine like terms: -1m + m = 0 46 + -6m = 10 + 0 46 + -6m = 10 Add '-46' to each side of the equation. 46 + -46 + -6m = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -6m = 10 + -46 -6m = 10 + -46 Combine like terms: 10 + -46 = -36 -6m = -36 Divide each side by '-6'. m = 6 Simplifying m = 6
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