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Simplifying 0.02m + 0.08(8 + -1x) = 1.78 0.02m + (8 * 0.08 + -1x * 0.08) = 1.78 0.02m + (0.64 + -0.08x) = 1.78 Reorder the terms: 0.64 + 0.02m + -0.08x = 1.78 Solving 0.64 + 0.02m + -0.08x = 1.78 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.64' to each side of the equation. 0.64 + 0.02m + -0.64 + -0.08x = 1.78 + -0.64 Reorder the terms: 0.64 + -0.64 + 0.02m + -0.08x = 1.78 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + 0.02m + -0.08x = 1.78 + -0.64 0.02m + -0.08x = 1.78 + -0.64 Combine like terms: 1.78 + -0.64 = 1.14 0.02m + -0.08x = 1.14 Add '0.08x' to each side of the equation. 0.02m + -0.08x + 0.08x = 1.14 + 0.08x Combine like terms: -0.08x + 0.08x = 0.00 0.02m + 0.00 = 1.14 + 0.08x 0.02m = 1.14 + 0.08x Divide each side by '0.02'. m = 57 + 4x Simplifying m = 57 + 4x
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