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Simplifying 33 + m = 4(m + 6) Reorder the terms: 33 + m = 4(6 + m) 33 + m = (6 * 4 + m * 4) 33 + m = (24 + 4m) Solving 33 + m = 24 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 33 + m + -4m = 24 + 4m + -4m Combine like terms: m + -4m = -3m 33 + -3m = 24 + 4m + -4m Combine like terms: 4m + -4m = 0 33 + -3m = 24 + 0 33 + -3m = 24 Add '-33' to each side of the equation. 33 + -33 + -3m = 24 + -33 Combine like terms: 33 + -33 = 0 0 + -3m = 24 + -33 -3m = 24 + -33 Combine like terms: 24 + -33 = -9 -3m = -9 Divide each side by '-3'. m = 3 Simplifying m = 3
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