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Simplifying 6m + 33 = 5 + -1m Reorder the terms: 33 + 6m = 5 + -1m Solving 33 + 6m = 5 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 33 + 6m + m = 5 + -1m + m Combine like terms: 6m + m = 7m 33 + 7m = 5 + -1m + m Combine like terms: -1m + m = 0 33 + 7m = 5 + 0 33 + 7m = 5 Add '-33' to each side of the equation. 33 + -33 + 7m = 5 + -33 Combine like terms: 33 + -33 = 0 0 + 7m = 5 + -33 7m = 5 + -33 Combine like terms: 5 + -33 = -28 7m = -28 Divide each side by '7'. m = -4 Simplifying m = -4
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