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Simplifying -5p + 2 = 2(2p + -15) + p Reorder the terms: 2 + -5p = 2(2p + -15) + p Reorder the terms: 2 + -5p = 2(-15 + 2p) + p 2 + -5p = (-15 * 2 + 2p * 2) + p 2 + -5p = (-30 + 4p) + p Combine like terms: 4p + p = 5p 2 + -5p = -30 + 5p Solving 2 + -5p = -30 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2 + -5p + -5p = -30 + 5p + -5p Combine like terms: -5p + -5p = -10p 2 + -10p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + -10p = -30 + 0 2 + -10p = -30 Add '-2' to each side of the equation. 2 + -2 + -10p = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -10p = -30 + -2 -10p = -30 + -2 Combine like terms: -30 + -2 = -32 -10p = -32 Divide each side by '-10'. p = 3.2 Simplifying p = 3.2
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