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Simplifying -2p + -5(5 + -2p) = 6(p + -2) + -3 -2p + (5 * -5 + -2p * -5) = 6(p + -2) + -3 -2p + (-25 + 10p) = 6(p + -2) + -3 Reorder the terms: -25 + -2p + 10p = 6(p + -2) + -3 Combine like terms: -2p + 10p = 8p -25 + 8p = 6(p + -2) + -3 Reorder the terms: -25 + 8p = 6(-2 + p) + -3 -25 + 8p = (-2 * 6 + p * 6) + -3 -25 + 8p = (-12 + 6p) + -3 Reorder the terms: -25 + 8p = -12 + -3 + 6p Combine like terms: -12 + -3 = -15 -25 + 8p = -15 + 6p Solving -25 + 8p = -15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -25 + 8p + -6p = -15 + 6p + -6p Combine like terms: 8p + -6p = 2p -25 + 2p = -15 + 6p + -6p Combine like terms: 6p + -6p = 0 -25 + 2p = -15 + 0 -25 + 2p = -15 Add '25' to each side of the equation. -25 + 25 + 2p = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 2p = -15 + 25 2p = -15 + 25 Combine like terms: -15 + 25 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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