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Simplifying 217 = 7(7m + 3) Reorder the terms: 217 = 7(3 + 7m) 217 = (3 * 7 + 7m * 7) 217 = (21 + 49m) Solving 217 = 21 + 49m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-49m' to each side of the equation. 217 + -49m = 21 + 49m + -49m Combine like terms: 49m + -49m = 0 217 + -49m = 21 + 0 217 + -49m = 21 Add '-217' to each side of the equation. 217 + -217 + -49m = 21 + -217 Combine like terms: 217 + -217 = 0 0 + -49m = 21 + -217 -49m = 21 + -217 Combine like terms: 21 + -217 = -196 -49m = -196 Divide each side by '-49'. m = 4 Simplifying m = 4
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