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Simplifying 0.45(70) + 0.25c = 0.15(70 + c) Multiply 0.45 * 70 31.5 + 0.25c = 0.15(70 + c) 31.5 + 0.25c = (70 * 0.15 + c * 0.15) 31.5 + 0.25c = (10.5 + 0.15c) Solving 31.5 + 0.25c = 10.5 + 0.15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.15c' to each side of the equation. 31.5 + 0.25c + -0.15c = 10.5 + 0.15c + -0.15c Combine like terms: 0.25c + -0.15c = 0.1c 31.5 + 0.1c = 10.5 + 0.15c + -0.15c Combine like terms: 0.15c + -0.15c = 0.00 31.5 + 0.1c = 10.5 + 0.00 31.5 + 0.1c = 10.5 Add '-31.5' to each side of the equation. 31.5 + -31.5 + 0.1c = 10.5 + -31.5 Combine like terms: 31.5 + -31.5 = 0.0 0.0 + 0.1c = 10.5 + -31.5 0.1c = 10.5 + -31.5 Combine like terms: 10.5 + -31.5 = -21 0.1c = -21 Divide each side by '0.1'. c = -210 Simplifying c = -210
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