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Simplifying 4.5(0.1p + -0.2) + p = 12.1065 Reorder the terms: 4.5(-0.2 + 0.1p) + p = 12.1065 (-0.2 * 4.5 + 0.1p * 4.5) + p = 12.1065 (-0.9 + 0.45p) + p = 12.1065 Combine like terms: 0.45p + p = 1.45p -0.9 + 1.45p = 12.1065 Solving -0.9 + 1.45p = 12.1065 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + 1.45p = 12.1065 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 1.45p = 12.1065 + 0.9 1.45p = 12.1065 + 0.9 Combine like terms: 12.1065 + 0.9 = 13.0065 1.45p = 13.0065 Divide each side by '1.45'. p = 8.97 Simplifying p = 8.97
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