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Simplifying 45 = 5(p + 4) Reorder the terms: 45 = 5(4 + p) 45 = (4 * 5 + p * 5) 45 = (20 + 5p) Solving 45 = 20 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 45 + -5p = 20 + 5p + -5p Combine like terms: 5p + -5p = 0 45 + -5p = 20 + 0 45 + -5p = 20 Add '-45' to each side of the equation. 45 + -45 + -5p = 20 + -45 Combine like terms: 45 + -45 = 0 0 + -5p = 20 + -45 -5p = 20 + -45 Combine like terms: 20 + -45 = -25 -5p = -25 Divide each side by '-5'. p = 5 Simplifying p = 5
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