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Simplifying 7m + 5(m + 1) = -5 + 22m Reorder the terms: 7m + 5(1 + m) = -5 + 22m 7m + (1 * 5 + m * 5) = -5 + 22m 7m + (5 + 5m) = -5 + 22m Reorder the terms: 5 + 7m + 5m = -5 + 22m Combine like terms: 7m + 5m = 12m 5 + 12m = -5 + 22m Solving 5 + 12m = -5 + 22m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-22m' to each side of the equation. 5 + 12m + -22m = -5 + 22m + -22m Combine like terms: 12m + -22m = -10m 5 + -10m = -5 + 22m + -22m Combine like terms: 22m + -22m = 0 5 + -10m = -5 + 0 5 + -10m = -5 Add '-5' to each side of the equation. 5 + -5 + -10m = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -10m = -5 + -5 -10m = -5 + -5 Combine like terms: -5 + -5 = -10 -10m = -10 Divide each side by '-10'. m = 1 Simplifying m = 1
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