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Simplifying -8(p + 2) + p = 4(p + 3) + 5 Reorder the terms: -8(2 + p) + p = 4(p + 3) + 5 (2 * -8 + p * -8) + p = 4(p + 3) + 5 (-16 + -8p) + p = 4(p + 3) + 5 Combine like terms: -8p + p = -7p -16 + -7p = 4(p + 3) + 5 Reorder the terms: -16 + -7p = 4(3 + p) + 5 -16 + -7p = (3 * 4 + p * 4) + 5 -16 + -7p = (12 + 4p) + 5 Reorder the terms: -16 + -7p = 12 + 5 + 4p Combine like terms: 12 + 5 = 17 -16 + -7p = 17 + 4p Solving -16 + -7p = 17 + 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. -16 + -7p + -4p = 17 + 4p + -4p Combine like terms: -7p + -4p = -11p -16 + -11p = 17 + 4p + -4p Combine like terms: 4p + -4p = 0 -16 + -11p = 17 + 0 -16 + -11p = 17 Add '16' to each side of the equation. -16 + 16 + -11p = 17 + 16 Combine like terms: -16 + 16 = 0 0 + -11p = 17 + 16 -11p = 17 + 16 Combine like terms: 17 + 16 = 33 -11p = 33 Divide each side by '-11'. p = -3 Simplifying p = -3
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