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Simplifying 2p + -10 = 5(p + -7) + -8p Reorder the terms: -10 + 2p = 5(p + -7) + -8p Reorder the terms: -10 + 2p = 5(-7 + p) + -8p -10 + 2p = (-7 * 5 + p * 5) + -8p -10 + 2p = (-35 + 5p) + -8p Combine like terms: 5p + -8p = -3p -10 + 2p = -35 + -3p Solving -10 + 2p = -35 + -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 + 2p + 3p = -35 + -3p + 3p Combine like terms: 2p + 3p = 5p -10 + 5p = -35 + -3p + 3p Combine like terms: -3p + 3p = 0 -10 + 5p = -35 + 0 -10 + 5p = -35 Add '10' to each side of the equation. -10 + 10 + 5p = -35 + 10 Combine like terms: -10 + 10 = 0 0 + 5p = -35 + 10 5p = -35 + 10 Combine like terms: -35 + 10 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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