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Simplifying -2p + 7 = 6 + -1(6p + 8) Reorder the terms: 7 + -2p = 6 + -1(6p + 8) Reorder the terms: 7 + -2p = 6 + -1(8 + 6p) 7 + -2p = 6 + (8 * -1 + 6p * -1) 7 + -2p = 6 + (-8 + -6p) Combine like terms: 6 + -8 = -2 7 + -2p = -2 + -6p Solving 7 + -2p = -2 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 7 + -2p + 6p = -2 + -6p + 6p Combine like terms: -2p + 6p = 4p 7 + 4p = -2 + -6p + 6p Combine like terms: -6p + 6p = 0 7 + 4p = -2 + 0 7 + 4p = -2 Add '-7' to each side of the equation. 7 + -7 + 4p = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 4p = -2 + -7 4p = -2 + -7 Combine like terms: -2 + -7 = -9 4p = -9 Divide each side by '4'. p = -2.25 Simplifying p = -2.25
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