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Simplifying 84 = -7 + 7(m + 6) Reorder the terms: 84 = -7 + 7(6 + m) 84 = -7 + (6 * 7 + m * 7) 84 = -7 + (42 + 7m) Combine like terms: -7 + 42 = 35 84 = 35 + 7m Solving 84 = 35 + 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. 84 + -7m = 35 + 7m + -7m Combine like terms: 7m + -7m = 0 84 + -7m = 35 + 0 84 + -7m = 35 Add '-84' to each side of the equation. 84 + -84 + -7m = 35 + -84 Combine like terms: 84 + -84 = 0 0 + -7m = 35 + -84 -7m = 35 + -84 Combine like terms: 35 + -84 = -49 -7m = -49 Divide each side by '-7'. m = 7 Simplifying m = 7
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