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Simplifying 10 + -14p = -8p + 2(5p + -3) Reorder the terms: 10 + -14p = -8p + 2(-3 + 5p) 10 + -14p = -8p + (-3 * 2 + 5p * 2) 10 + -14p = -8p + (-6 + 10p) Reorder the terms: 10 + -14p = -6 + -8p + 10p Combine like terms: -8p + 10p = 2p 10 + -14p = -6 + 2p Solving 10 + -14p = -6 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 10 + -14p + -2p = -6 + 2p + -2p Combine like terms: -14p + -2p = -16p 10 + -16p = -6 + 2p + -2p Combine like terms: 2p + -2p = 0 10 + -16p = -6 + 0 10 + -16p = -6 Add '-10' to each side of the equation. 10 + -10 + -16p = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -16p = -6 + -10 -16p = -6 + -10 Combine like terms: -6 + -10 = -16 -16p = -16 Divide each side by '-16'. p = 1 Simplifying p = 1
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