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Simplifying -5m + 36 = -7(m + -6) Reorder the terms: 36 + -5m = -7(m + -6) Reorder the terms: 36 + -5m = -7(-6 + m) 36 + -5m = (-6 * -7 + m * -7) 36 + -5m = (42 + -7m) Solving 36 + -5m = 42 + -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. 36 + -5m + 7m = 42 + -7m + 7m Combine like terms: -5m + 7m = 2m 36 + 2m = 42 + -7m + 7m Combine like terms: -7m + 7m = 0 36 + 2m = 42 + 0 36 + 2m = 42 Add '-36' to each side of the equation. 36 + -36 + 2m = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 2m = 42 + -36 2m = 42 + -36 Combine like terms: 42 + -36 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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