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Simplifying -4 + 4(m + -7) = 3(6 + -7m) Reorder the terms: -4 + 4(-7 + m) = 3(6 + -7m) -4 + (-7 * 4 + m * 4) = 3(6 + -7m) -4 + (-28 + 4m) = 3(6 + -7m) Combine like terms: -4 + -28 = -32 -32 + 4m = 3(6 + -7m) -32 + 4m = (6 * 3 + -7m * 3) -32 + 4m = (18 + -21m) Solving -32 + 4m = 18 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. -32 + 4m + 21m = 18 + -21m + 21m Combine like terms: 4m + 21m = 25m -32 + 25m = 18 + -21m + 21m Combine like terms: -21m + 21m = 0 -32 + 25m = 18 + 0 -32 + 25m = 18 Add '32' to each side of the equation. -32 + 32 + 25m = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 25m = 18 + 32 25m = 18 + 32 Combine like terms: 18 + 32 = 50 25m = 50 Divide each side by '25'. m = 2 Simplifying m = 2
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