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Simplifying 7(7 + -6m) + 2 = -33 (7 * 7 + -6m * 7) + 2 = -33 (49 + -42m) + 2 = -33 Reorder the terms: 49 + 2 + -42m = -33 Combine like terms: 49 + 2 = 51 51 + -42m = -33 Solving 51 + -42m = -33 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -42m = -33 + -51 Combine like terms: 51 + -51 = 0 0 + -42m = -33 + -51 -42m = -33 + -51 Combine like terms: -33 + -51 = -84 -42m = -84 Divide each side by '-42'. m = 2 Simplifying m = 2
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