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Simplifying -5[p + 2] = 2[2p + -15] + p Reorder the terms: -5[2 + p] = 2[2p + -15] + p [2 * -5 + p * -5] = 2[2p + -15] + p [-10 + -5p] = 2[2p + -15] + p Reorder the terms: -10 + -5p = 2[-15 + 2p] + p -10 + -5p = [-15 * 2 + 2p * 2] + p -10 + -5p = [-30 + 4p] + p Combine like terms: 4p + p = 5p -10 + -5p = -30 + 5p Solving -10 + -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. -10 + -5p + -5p = -30 + 5p + -5p Combine like terms: -5p + -5p = -10p -10 + -10p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + -10p = -30 + 0 -10 + -10p = -30 Add '10' to each side of the equation. -10 + 10 + -10p = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -10p = -30 + 10 -10p = -30 + 10 Combine like terms: -30 + 10 = -20 -10p = -20 Divide each side by '-10'. p = 2 Simplifying p = 2
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