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Simplifying 0.15(90) + 0.05p = 0.10(90 + p) Multiply 0.15 * 90 13.5 + 0.05p = 0.10(90 + p) 13.5 + 0.05p = (90 * 0.10 + p * 0.10) 13.5 + 0.05p = (9 + 0.10p) Solving 13.5 + 0.05p = 9 + 0.10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.10p' to each side of the equation. 13.5 + 0.05p + -0.10p = 9 + 0.10p + -0.10p Combine like terms: 0.05p + -0.10p = -0.05p 13.5 + -0.05p = 9 + 0.10p + -0.10p Combine like terms: 0.10p + -0.10p = 0.00 13.5 + -0.05p = 9 + 0.00 13.5 + -0.05p = 9 Add '-13.5' to each side of the equation. 13.5 + -13.5 + -0.05p = 9 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + -0.05p = 9 + -13.5 -0.05p = 9 + -13.5 Combine like terms: 9 + -13.5 = -4.5 -0.05p = -4.5 Divide each side by '-0.05'. p = 90 Simplifying p = 90
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