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Simplifying 8(p + 6) + -5p = 33 + 8p Reorder the terms: 8(6 + p) + -5p = 33 + 8p (6 * 8 + p * 8) + -5p = 33 + 8p (48 + 8p) + -5p = 33 + 8p Combine like terms: 8p + -5p = 3p 48 + 3p = 33 + 8p Solving 48 + 3p = 33 + 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. 48 + 3p + -8p = 33 + 8p + -8p Combine like terms: 3p + -8p = -5p 48 + -5p = 33 + 8p + -8p Combine like terms: 8p + -8p = 0 48 + -5p = 33 + 0 48 + -5p = 33 Add '-48' to each side of the equation. 48 + -48 + -5p = 33 + -48 Combine like terms: 48 + -48 = 0 0 + -5p = 33 + -48 -5p = 33 + -48 Combine like terms: 33 + -48 = -15 -5p = -15 Divide each side by '-5'. p = 3 Simplifying p = 3
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