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Simplifying 33 + 3m = 4 + 8(-3 + 7m) 33 + 3m = 4 + (-3 * 8 + 7m * 8) 33 + 3m = 4 + (-24 + 56m) Combine like terms: 4 + -24 = -20 33 + 3m = -20 + 56m Solving 33 + 3m = -20 + 56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56m' to each side of the equation. 33 + 3m + -56m = -20 + 56m + -56m Combine like terms: 3m + -56m = -53m 33 + -53m = -20 + 56m + -56m Combine like terms: 56m + -56m = 0 33 + -53m = -20 + 0 33 + -53m = -20 Add '-33' to each side of the equation. 33 + -33 + -53m = -20 + -33 Combine like terms: 33 + -33 = 0 0 + -53m = -20 + -33 -53m = -20 + -33 Combine like terms: -20 + -33 = -53 -53m = -53 Divide each side by '-53'. m = 1 Simplifying m = 1
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