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Simplifying 5p + -2(-1p + -1) + -7 = p + -1(-8 + -1p) + -12 Reorder the terms: 5p + -2(-1 + -1p) + -7 = p + -1(-8 + -1p) + -12 5p + (-1 * -2 + -1p * -2) + -7 = p + -1(-8 + -1p) + -12 5p + (2 + 2p) + -7 = p + -1(-8 + -1p) + -12 Reorder the terms: 2 + -7 + 5p + 2p = p + -1(-8 + -1p) + -12 Combine like terms: 2 + -7 = -5 -5 + 5p + 2p = p + -1(-8 + -1p) + -12 Combine like terms: 5p + 2p = 7p -5 + 7p = p + -1(-8 + -1p) + -12 -5 + 7p = p + (-8 * -1 + -1p * -1) + -12 -5 + 7p = p + (8 + 1p) + -12 Reorder the terms: -5 + 7p = 8 + -12 + p + 1p Combine like terms: 8 + -12 = -4 -5 + 7p = -4 + p + 1p Combine like terms: p + 1p = 2p -5 + 7p = -4 + 2p Solving -5 + 7p = -4 + 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. -5 + 7p + -2p = -4 + 2p + -2p Combine like terms: 7p + -2p = 5p -5 + 5p = -4 + 2p + -2p Combine like terms: 2p + -2p = 0 -5 + 5p = -4 + 0 -5 + 5p = -4 Add '5' to each side of the equation. -5 + 5 + 5p = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 5p = -4 + 5 5p = -4 + 5 Combine like terms: -4 + 5 = 1 5p = 1 Divide each side by '5'. p = 0.2 Simplifying p = 0.2
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