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Simplifying -7(2p + 3) + -22 = 3(5p + 5) Reorder the terms: -7(3 + 2p) + -22 = 3(5p + 5) (3 * -7 + 2p * -7) + -22 = 3(5p + 5) (-21 + -14p) + -22 = 3(5p + 5) Reorder the terms: -21 + -22 + -14p = 3(5p + 5) Combine like terms: -21 + -22 = -43 -43 + -14p = 3(5p + 5) Reorder the terms: -43 + -14p = 3(5 + 5p) -43 + -14p = (5 * 3 + 5p * 3) -43 + -14p = (15 + 15p) Solving -43 + -14p = 15 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -43 + -14p + -15p = 15 + 15p + -15p Combine like terms: -14p + -15p = -29p -43 + -29p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -43 + -29p = 15 + 0 -43 + -29p = 15 Add '43' to each side of the equation. -43 + 43 + -29p = 15 + 43 Combine like terms: -43 + 43 = 0 0 + -29p = 15 + 43 -29p = 15 + 43 Combine like terms: 15 + 43 = 58 -29p = 58 Divide each side by '-29'. p = -2 Simplifying p = -2
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