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Simplifying -3(5p + -3) + -2 = -7p + -33 Reorder the terms: -3(-3 + 5p) + -2 = -7p + -33 (-3 * -3 + 5p * -3) + -2 = -7p + -33 (9 + -15p) + -2 = -7p + -33 Reorder the terms: 9 + -2 + -15p = -7p + -33 Combine like terms: 9 + -2 = 7 7 + -15p = -7p + -33 Reorder the terms: 7 + -15p = -33 + -7p Solving 7 + -15p = -33 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 7 + -15p + 7p = -33 + -7p + 7p Combine like terms: -15p + 7p = -8p 7 + -8p = -33 + -7p + 7p Combine like terms: -7p + 7p = 0 7 + -8p = -33 + 0 7 + -8p = -33 Add '-7' to each side of the equation. 7 + -7 + -8p = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -8p = -33 + -7 -8p = -33 + -7 Combine like terms: -33 + -7 = -40 -8p = -40 Divide each side by '-8'. p = 5 Simplifying p = 5
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