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Simplifying 5(m + 5) + -6 = 7(m + 3) Reorder the terms: 5(5 + m) + -6 = 7(m + 3) (5 * 5 + m * 5) + -6 = 7(m + 3) (25 + 5m) + -6 = 7(m + 3) Reorder the terms: 25 + -6 + 5m = 7(m + 3) Combine like terms: 25 + -6 = 19 19 + 5m = 7(m + 3) Reorder the terms: 19 + 5m = 7(3 + m) 19 + 5m = (3 * 7 + m * 7) 19 + 5m = (21 + 7m) Solving 19 + 5m = 21 + 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. 19 + 5m + -7m = 21 + 7m + -7m Combine like terms: 5m + -7m = -2m 19 + -2m = 21 + 7m + -7m Combine like terms: 7m + -7m = 0 19 + -2m = 21 + 0 19 + -2m = 21 Add '-19' to each side of the equation. 19 + -19 + -2m = 21 + -19 Combine like terms: 19 + -19 = 0 0 + -2m = 21 + -19 -2m = 21 + -19 Combine like terms: 21 + -19 = 2 -2m = 2 Divide each side by '-2'. m = -1 Simplifying m = -1
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