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Simplifying -7(3p + 3) + -32 = 5(2p + 8) Reorder the terms: -7(3 + 3p) + -32 = 5(2p + 8) (3 * -7 + 3p * -7) + -32 = 5(2p + 8) (-21 + -21p) + -32 = 5(2p + 8) Reorder the terms: -21 + -32 + -21p = 5(2p + 8) Combine like terms: -21 + -32 = -53 -53 + -21p = 5(2p + 8) Reorder the terms: -53 + -21p = 5(8 + 2p) -53 + -21p = (8 * 5 + 2p * 5) -53 + -21p = (40 + 10p) Solving -53 + -21p = 40 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -53 + -21p + -10p = 40 + 10p + -10p Combine like terms: -21p + -10p = -31p -53 + -31p = 40 + 10p + -10p Combine like terms: 10p + -10p = 0 -53 + -31p = 40 + 0 -53 + -31p = 40 Add '53' to each side of the equation. -53 + 53 + -31p = 40 + 53 Combine like terms: -53 + 53 = 0 0 + -31p = 40 + 53 -31p = 40 + 53 Combine like terms: 40 + 53 = 93 -31p = 93 Divide each side by '-31'. p = -3 Simplifying p = -3
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