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Simplifying -8(-6 + -7p) + -6 = -2(p + 8) (-6 * -8 + -7p * -8) + -6 = -2(p + 8) (48 + 56p) + -6 = -2(p + 8) Reorder the terms: 48 + -6 + 56p = -2(p + 8) Combine like terms: 48 + -6 = 42 42 + 56p = -2(p + 8) Reorder the terms: 42 + 56p = -2(8 + p) 42 + 56p = (8 * -2 + p * -2) 42 + 56p = (-16 + -2p) Solving 42 + 56p = -16 + -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. 42 + 56p + 2p = -16 + -2p + 2p Combine like terms: 56p + 2p = 58p 42 + 58p = -16 + -2p + 2p Combine like terms: -2p + 2p = 0 42 + 58p = -16 + 0 42 + 58p = -16 Add '-42' to each side of the equation. 42 + -42 + 58p = -16 + -42 Combine like terms: 42 + -42 = 0 0 + 58p = -16 + -42 58p = -16 + -42 Combine like terms: -16 + -42 = -58 58p = -58 Divide each side by '58'. p = -1 Simplifying p = -1
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