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Simplifying -7(2p + 3) + -17 = 5(3p + 4) Reorder the terms: -7(3 + 2p) + -17 = 5(3p + 4) (3 * -7 + 2p * -7) + -17 = 5(3p + 4) (-21 + -14p) + -17 = 5(3p + 4) Reorder the terms: -21 + -17 + -14p = 5(3p + 4) Combine like terms: -21 + -17 = -38 -38 + -14p = 5(3p + 4) Reorder the terms: -38 + -14p = 5(4 + 3p) -38 + -14p = (4 * 5 + 3p * 5) -38 + -14p = (20 + 15p) Solving -38 + -14p = 20 + 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. -38 + -14p + -15p = 20 + 15p + -15p Combine like terms: -14p + -15p = -29p -38 + -29p = 20 + 15p + -15p Combine like terms: 15p + -15p = 0 -38 + -29p = 20 + 0 -38 + -29p = 20 Add '38' to each side of the equation. -38 + 38 + -29p = 20 + 38 Combine like terms: -38 + 38 = 0 0 + -29p = 20 + 38 -29p = 20 + 38 Combine like terms: 20 + 38 = 58 -29p = 58 Divide each side by '-29'. p = -2 Simplifying p = -2
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