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Simplifying 36(p + 4) = 45.6p Reorder the terms: 36(4 + p) = 45.6p (4 * 36 + p * 36) = 45.6p (144 + 36p) = 45.6p Solving 144 + 36p = 45.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45.6p' to each side of the equation. 144 + 36p + -45.6p = 45.6p + -45.6p Combine like terms: 36p + -45.6p = -9.6p 144 + -9.6p = 45.6p + -45.6p Combine like terms: 45.6p + -45.6p = 0.0 144 + -9.6p = 0.0 Add '-144' to each side of the equation. 144 + -144 + -9.6p = 0.0 + -144 Combine like terms: 144 + -144 = 0 0 + -9.6p = 0.0 + -144 -9.6p = 0.0 + -144 Combine like terms: 0.0 + -144 = -144 -9.6p = -144 Divide each side by '-9.6'. p = 15 Simplifying p = 15
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