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Simplifying 5(10m + 9) + 5 = 3(11 + 11m) Reorder the terms: 5(9 + 10m) + 5 = 3(11 + 11m) (9 * 5 + 10m * 5) + 5 = 3(11 + 11m) (45 + 50m) + 5 = 3(11 + 11m) Reorder the terms: 45 + 5 + 50m = 3(11 + 11m) Combine like terms: 45 + 5 = 50 50 + 50m = 3(11 + 11m) 50 + 50m = (11 * 3 + 11m * 3) 50 + 50m = (33 + 33m) Solving 50 + 50m = 33 + 33m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33m' to each side of the equation. 50 + 50m + -33m = 33 + 33m + -33m Combine like terms: 50m + -33m = 17m 50 + 17m = 33 + 33m + -33m Combine like terms: 33m + -33m = 0 50 + 17m = 33 + 0 50 + 17m = 33 Add '-50' to each side of the equation. 50 + -50 + 17m = 33 + -50 Combine like terms: 50 + -50 = 0 0 + 17m = 33 + -50 17m = 33 + -50 Combine like terms: 33 + -50 = -17 17m = -17 Divide each side by '17'. m = -1 Simplifying m = -1
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