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Simplifying 22 + 6m = 7(5m + -1) Reorder the terms: 22 + 6m = 7(-1 + 5m) 22 + 6m = (-1 * 7 + 5m * 7) 22 + 6m = (-7 + 35m) Solving 22 + 6m = -7 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. 22 + 6m + -35m = -7 + 35m + -35m Combine like terms: 6m + -35m = -29m 22 + -29m = -7 + 35m + -35m Combine like terms: 35m + -35m = 0 22 + -29m = -7 + 0 22 + -29m = -7 Add '-22' to each side of the equation. 22 + -22 + -29m = -7 + -22 Combine like terms: 22 + -22 = 0 0 + -29m = -7 + -22 -29m = -7 + -22 Combine like terms: -7 + -22 = -29 -29m = -29 Divide each side by '-29'. m = 1 Simplifying m = 1
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