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Simplifying 4p + 5 = 3(4 + -1p) Reorder the terms: 5 + 4p = 3(4 + -1p) 5 + 4p = (4 * 3 + -1p * 3) 5 + 4p = (12 + -3p) Solving 5 + 4p = 12 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 5 + 4p + 3p = 12 + -3p + 3p Combine like terms: 4p + 3p = 7p 5 + 7p = 12 + -3p + 3p Combine like terms: -3p + 3p = 0 5 + 7p = 12 + 0 5 + 7p = 12 Add '-5' to each side of the equation. 5 + -5 + 7p = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7p = 12 + -5 7p = 12 + -5 Combine like terms: 12 + -5 = 7 7p = 7 Divide each side by '7'. p = 1 Simplifying p = 1
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