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Simplifying -5[p + 2] = [2p + -15] + p Reorder the terms: -5[2 + p] = [2p + -15] + p [2 * -5 + p * -5] = [2p + -15] + p [-10 + -5p] = [2p + -15] + p Reorder the terms: -10 + -5p = [-15 + 2p] + p Remove brackets around [-15 + 2p] -10 + -5p = -15 + 2p + p Combine like terms: 2p + p = 3p -10 + -5p = -15 + 3p Solving -10 + -5p = -15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -10 + -5p + -3p = -15 + 3p + -3p Combine like terms: -5p + -3p = -8p -10 + -8p = -15 + 3p + -3p Combine like terms: 3p + -3p = 0 -10 + -8p = -15 + 0 -10 + -8p = -15 Add '10' to each side of the equation. -10 + 10 + -8p = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -8p = -15 + 10 -8p = -15 + 10 Combine like terms: -15 + 10 = -5 -8p = -5 Divide each side by '-8'. p = 0.625 Simplifying p = 0.625
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