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Simplifying p + 12 + p + -2 = -8(8 + 9p) + 2(-10p + -10) Reorder the terms: 12 + -2 + p + p = -8(8 + 9p) + 2(-10p + -10) Combine like terms: 12 + -2 = 10 10 + p + p = -8(8 + 9p) + 2(-10p + -10) Combine like terms: p + p = 2p 10 + 2p = -8(8 + 9p) + 2(-10p + -10) 10 + 2p = (8 * -8 + 9p * -8) + 2(-10p + -10) 10 + 2p = (-64 + -72p) + 2(-10p + -10) Reorder the terms: 10 + 2p = -64 + -72p + 2(-10 + -10p) 10 + 2p = -64 + -72p + (-10 * 2 + -10p * 2) 10 + 2p = -64 + -72p + (-20 + -20p) Reorder the terms: 10 + 2p = -64 + -20 + -72p + -20p Combine like terms: -64 + -20 = -84 10 + 2p = -84 + -72p + -20p Combine like terms: -72p + -20p = -92p 10 + 2p = -84 + -92p Solving 10 + 2p = -84 + -92p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '92p' to each side of the equation. 10 + 2p + 92p = -84 + -92p + 92p Combine like terms: 2p + 92p = 94p 10 + 94p = -84 + -92p + 92p Combine like terms: -92p + 92p = 0 10 + 94p = -84 + 0 10 + 94p = -84 Add '-10' to each side of the equation. 10 + -10 + 94p = -84 + -10 Combine like terms: 10 + -10 = 0 0 + 94p = -84 + -10 94p = -84 + -10 Combine like terms: -84 + -10 = -94 94p = -94 Divide each side by '94'. p = -1 Simplifying p = -1
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