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Simplifying 7m + 5(1 + 7m) = -33 + 4m 7m + (1 * 5 + 7m * 5) = -33 + 4m 7m + (5 + 35m) = -33 + 4m Reorder the terms: 5 + 7m + 35m = -33 + 4m Combine like terms: 7m + 35m = 42m 5 + 42m = -33 + 4m Solving 5 + 42m = -33 + 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. 5 + 42m + -4m = -33 + 4m + -4m Combine like terms: 42m + -4m = 38m 5 + 38m = -33 + 4m + -4m Combine like terms: 4m + -4m = 0 5 + 38m = -33 + 0 5 + 38m = -33 Add '-5' to each side of the equation. 5 + -5 + 38m = -33 + -5 Combine like terms: 5 + -5 = 0 0 + 38m = -33 + -5 38m = -33 + -5 Combine like terms: -33 + -5 = -38 38m = -38 Divide each side by '38'. m = -1 Simplifying m = -1
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