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Simplifying -2p + -5(5 + -2p) = 6(p + -5) + -7 -2p + (5 * -5 + -2p * -5) = 6(p + -5) + -7 -2p + (-25 + 10p) = 6(p + -5) + -7 Reorder the terms: -25 + -2p + 10p = 6(p + -5) + -7 Combine like terms: -2p + 10p = 8p -25 + 8p = 6(p + -5) + -7 Reorder the terms: -25 + 8p = 6(-5 + p) + -7 -25 + 8p = (-5 * 6 + p * 6) + -7 -25 + 8p = (-30 + 6p) + -7 Reorder the terms: -25 + 8p = -30 + -7 + 6p Combine like terms: -30 + -7 = -37 -25 + 8p = -37 + 6p Solving -25 + 8p = -37 + 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 = -37 + 6p + -6p Combine like terms: 8p + -6p = 2p -25 + 2p = -37 + 6p + -6p Combine like terms: 6p + -6p = 0 -25 + 2p = -37 + 0 -25 + 2p = -37 Add '25' to each side of the equation. -25 + 25 + 2p = -37 + 25 Combine like terms: -25 + 25 = 0 0 + 2p = -37 + 25 2p = -37 + 25 Combine like terms: -37 + 25 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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