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Simplifying 12 + 2 = 7(m + 6) Combine like terms: 12 + 2 = 14 14 = 7(m + 6) Reorder the terms: 14 = 7(6 + m) 14 = (6 * 7 + m * 7) 14 = (42 + 7m) Solving 14 = 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. 14 + -7m = 42 + 7m + -7m Combine like terms: 7m + -7m = 0 14 + -7m = 42 + 0 14 + -7m = 42 Add '-14' to each side of the equation. 14 + -14 + -7m = 42 + -14 Combine like terms: 14 + -14 = 0 0 + -7m = 42 + -14 -7m = 42 + -14 Combine like terms: 42 + -14 = 28 -7m = 28 Divide each side by '-7'. m = -4 Simplifying m = -4
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