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Simplifying 0.07(15) = 0.06c + 0.09(15 + -1c) Multiply 0.07 * 15 1.05 = 0.06c + 0.09(15 + -1c) 1.05 = 0.06c + (15 * 0.09 + -1c * 0.09) 1.05 = 0.06c + (1.35 + -0.09c) Reorder the terms: 1.05 = 1.35 + 0.06c + -0.09c Combine like terms: 0.06c + -0.09c = -0.03c 1.05 = 1.35 + -0.03c Solving 1.05 = 1.35 + -0.03c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.03c' to each side of the equation. 1.05 + 0.03c = 1.35 + -0.03c + 0.03c Combine like terms: -0.03c + 0.03c = 0.00 1.05 + 0.03c = 1.35 + 0.00 1.05 + 0.03c = 1.35 Add '-1.05' to each side of the equation. 1.05 + -1.05 + 0.03c = 1.35 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + 0.03c = 1.35 + -1.05 0.03c = 1.35 + -1.05 Combine like terms: 1.35 + -1.05 = 0.3 0.03c = 0.3 Divide each side by '0.03'. c = 10 Simplifying c = 10
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