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Simplifying 0.18(6) + 0.02p = 0.06(12 + p) Multiply 0.18 * 6 1.08 + 0.02p = 0.06(12 + p) 1.08 + 0.02p = (12 * 0.06 + p * 0.06) 1.08 + 0.02p = (0.72 + 0.06p) Solving 1.08 + 0.02p = 0.72 + 0.06p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.06p' to each side of the equation. 1.08 + 0.02p + -0.06p = 0.72 + 0.06p + -0.06p Combine like terms: 0.02p + -0.06p = -0.04p 1.08 + -0.04p = 0.72 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 1.08 + -0.04p = 0.72 + 0.00 1.08 + -0.04p = 0.72 Add '-1.08' to each side of the equation. 1.08 + -1.08 + -0.04p = 0.72 + -1.08 Combine like terms: 1.08 + -1.08 = 0.00 0.00 + -0.04p = 0.72 + -1.08 -0.04p = 0.72 + -1.08 Combine like terms: 0.72 + -1.08 = -0.36 -0.04p = -0.36 Divide each side by '-0.04'. p = 9 Simplifying p = 9
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