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Simplifying -5(3p + 4) + -33 = 2(4p + 8) Reorder the terms: -5(4 + 3p) + -33 = 2(4p + 8) (4 * -5 + 3p * -5) + -33 = 2(4p + 8) (-20 + -15p) + -33 = 2(4p + 8) Reorder the terms: -20 + -33 + -15p = 2(4p + 8) Combine like terms: -20 + -33 = -53 -53 + -15p = 2(4p + 8) Reorder the terms: -53 + -15p = 2(8 + 4p) -53 + -15p = (8 * 2 + 4p * 2) -53 + -15p = (16 + 8p) Solving -53 + -15p = 16 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -53 + -15p + -8p = 16 + 8p + -8p Combine like terms: -15p + -8p = -23p -53 + -23p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 -53 + -23p = 16 + 0 -53 + -23p = 16 Add '53' to each side of the equation. -53 + 53 + -23p = 16 + 53 Combine like terms: -53 + 53 = 0 0 + -23p = 16 + 53 -23p = 16 + 53 Combine like terms: 16 + 53 = 69 -23p = 69 Divide each side by '-23'. p = -3 Simplifying p = -3
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