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Simplifying 17 + -7m = -4 + 7(m + 1) Reorder the terms: 17 + -7m = -4 + 7(1 + m) 17 + -7m = -4 + (1 * 7 + m * 7) 17 + -7m = -4 + (7 + 7m) Combine like terms: -4 + 7 = 3 17 + -7m = 3 + 7m Solving 17 + -7m = 3 + 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. 17 + -7m + -7m = 3 + 7m + -7m Combine like terms: -7m + -7m = -14m 17 + -14m = 3 + 7m + -7m Combine like terms: 7m + -7m = 0 17 + -14m = 3 + 0 17 + -14m = 3 Add '-17' to each side of the equation. 17 + -17 + -14m = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -14m = 3 + -17 -14m = 3 + -17 Combine like terms: 3 + -17 = -14 -14m = -14 Divide each side by '-14'. m = 1 Simplifying m = 1
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