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Simplifying -10 + 7(-2p + 2) = 3(-4p + 10) Reorder the terms: -10 + 7(2 + -2p) = 3(-4p + 10) -10 + (2 * 7 + -2p * 7) = 3(-4p + 10) -10 + (14 + -14p) = 3(-4p + 10) Combine like terms: -10 + 14 = 4 4 + -14p = 3(-4p + 10) Reorder the terms: 4 + -14p = 3(10 + -4p) 4 + -14p = (10 * 3 + -4p * 3) 4 + -14p = (30 + -12p) Solving 4 + -14p = 30 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 4 + -14p + 12p = 30 + -12p + 12p Combine like terms: -14p + 12p = -2p 4 + -2p = 30 + -12p + 12p Combine like terms: -12p + 12p = 0 4 + -2p = 30 + 0 4 + -2p = 30 Add '-4' to each side of the equation. 4 + -4 + -2p = 30 + -4 Combine like terms: 4 + -4 = 0 0 + -2p = 30 + -4 -2p = 30 + -4 Combine like terms: 30 + -4 = 26 -2p = 26 Divide each side by '-2'. p = -13 Simplifying p = -13
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