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Simplifying -2 + 8(p + -3) = -33 + p Reorder the terms: -2 + 8(-3 + p) = -33 + p -2 + (-3 * 8 + p * 8) = -33 + p -2 + (-24 + 8p) = -33 + p Combine like terms: -2 + -24 = -26 -26 + 8p = -33 + p Solving -26 + 8p = -33 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -26 + 8p + -1p = -33 + p + -1p Combine like terms: 8p + -1p = 7p -26 + 7p = -33 + p + -1p Combine like terms: p + -1p = 0 -26 + 7p = -33 + 0 -26 + 7p = -33 Add '26' to each side of the equation. -26 + 26 + 7p = -33 + 26 Combine like terms: -26 + 26 = 0 0 + 7p = -33 + 26 7p = -33 + 26 Combine like terms: -33 + 26 = -7 7p = -7 Divide each side by '7'. p = -1 Simplifying p = -1
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