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Simplifying -1p + -4 + -1(2p + -5) = 4 + 4(p + 3) Reorder the terms: -1p + -4 + -1(-5 + 2p) = 4 + 4(p + 3) -1p + -4 + (-5 * -1 + 2p * -1) = 4 + 4(p + 3) -1p + -4 + (5 + -2p) = 4 + 4(p + 3) Reorder the terms: -4 + 5 + -1p + -2p = 4 + 4(p + 3) Combine like terms: -4 + 5 = 1 1 + -1p + -2p = 4 + 4(p + 3) Combine like terms: -1p + -2p = -3p 1 + -3p = 4 + 4(p + 3) Reorder the terms: 1 + -3p = 4 + 4(3 + p) 1 + -3p = 4 + (3 * 4 + p * 4) 1 + -3p = 4 + (12 + 4p) Combine like terms: 4 + 12 = 16 1 + -3p = 16 + 4p Solving 1 + -3p = 16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 1 + -3p + -4p = 16 + 4p + -4p Combine like terms: -3p + -4p = -7p 1 + -7p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 1 + -7p = 16 + 0 1 + -7p = 16 Add '-1' to each side of the equation. 1 + -1 + -7p = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -7p = 16 + -1 -7p = 16 + -1 Combine like terms: 16 + -1 = 15 -7p = 15 Divide each side by '-7'. p = -2.142857143 Simplifying p = -2.142857143
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