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Simplifying -7(2p + 3) + -32 = 5(4p + 3) Reorder the terms: -7(3 + 2p) + -32 = 5(4p + 3) (3 * -7 + 2p * -7) + -32 = 5(4p + 3) (-21 + -14p) + -32 = 5(4p + 3) Reorder the terms: -21 + -32 + -14p = 5(4p + 3) Combine like terms: -21 + -32 = -53 -53 + -14p = 5(4p + 3) Reorder the terms: -53 + -14p = 5(3 + 4p) -53 + -14p = (3 * 5 + 4p * 5) -53 + -14p = (15 + 20p) Solving -53 + -14p = 15 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -53 + -14p + -20p = 15 + 20p + -20p Combine like terms: -14p + -20p = -34p -53 + -34p = 15 + 20p + -20p Combine like terms: 20p + -20p = 0 -53 + -34p = 15 + 0 -53 + -34p = 15 Add '53' to each side of the equation. -53 + 53 + -34p = 15 + 53 Combine like terms: -53 + 53 = 0 0 + -34p = 15 + 53 -34p = 15 + 53 Combine like terms: 15 + 53 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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