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Simplifying 5 + 6(7 + 3m) = -7(4 + m) 5 + (7 * 6 + 3m * 6) = -7(4 + m) 5 + (42 + 18m) = -7(4 + m) Combine like terms: 5 + 42 = 47 47 + 18m = -7(4 + m) 47 + 18m = (4 * -7 + m * -7) 47 + 18m = (-28 + -7m) Solving 47 + 18m = -28 + -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. 47 + 18m + 7m = -28 + -7m + 7m Combine like terms: 18m + 7m = 25m 47 + 25m = -28 + -7m + 7m Combine like terms: -7m + 7m = 0 47 + 25m = -28 + 0 47 + 25m = -28 Add '-47' to each side of the equation. 47 + -47 + 25m = -28 + -47 Combine like terms: 47 + -47 = 0 0 + 25m = -28 + -47 25m = -28 + -47 Combine like terms: -28 + -47 = -75 25m = -75 Divide each side by '25'. m = -3 Simplifying m = -3
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