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Simplifying 1.25m + 30 = 1.75(m + -100) + 105 Reorder the terms: 30 + 1.25m = 1.75(m + -100) + 105 Reorder the terms: 30 + 1.25m = 1.75(-100 + m) + 105 30 + 1.25m = (-100 * 1.75 + m * 1.75) + 105 30 + 1.25m = (-175 + 1.75m) + 105 Reorder the terms: 30 + 1.25m = -175 + 105 + 1.75m Combine like terms: -175 + 105 = -70 30 + 1.25m = -70 + 1.75m Solving 30 + 1.25m = -70 + 1.75m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.75m' to each side of the equation. 30 + 1.25m + -1.75m = -70 + 1.75m + -1.75m Combine like terms: 1.25m + -1.75m = -0.5m 30 + -0.5m = -70 + 1.75m + -1.75m Combine like terms: 1.75m + -1.75m = 0.00 30 + -0.5m = -70 + 0.00 30 + -0.5m = -70 Add '-30' to each side of the equation. 30 + -30 + -0.5m = -70 + -30 Combine like terms: 30 + -30 = 0 0 + -0.5m = -70 + -30 -0.5m = -70 + -30 Combine like terms: -70 + -30 = -100 -0.5m = -100 Divide each side by '-0.5'. m = 200 Simplifying m = 200
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