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Simplifying 7p + -1(13p + 4) = -2(2p + -1) + 10 Reorder the terms: 7p + -1(4 + 13p) = -2(2p + -1) + 10 7p + (4 * -1 + 13p * -1) = -2(2p + -1) + 10 7p + (-4 + -13p) = -2(2p + -1) + 10 Reorder the terms: -4 + 7p + -13p = -2(2p + -1) + 10 Combine like terms: 7p + -13p = -6p -4 + -6p = -2(2p + -1) + 10 Reorder the terms: -4 + -6p = -2(-1 + 2p) + 10 -4 + -6p = (-1 * -2 + 2p * -2) + 10 -4 + -6p = (2 + -4p) + 10 Reorder the terms: -4 + -6p = 2 + 10 + -4p Combine like terms: 2 + 10 = 12 -4 + -6p = 12 + -4p Solving -4 + -6p = 12 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -4 + -6p + 4p = 12 + -4p + 4p Combine like terms: -6p + 4p = -2p -4 + -2p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 -4 + -2p = 12 + 0 -4 + -2p = 12 Add '4' to each side of the equation. -4 + 4 + -2p = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2p = 12 + 4 -2p = 12 + 4 Combine like terms: 12 + 4 = 16 -2p = 16 Divide each side by '-2'. p = -8 Simplifying p = -8
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