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Simplifying 2p + 8 = 5 + -1(6p + 4) Reorder the terms: 8 + 2p = 5 + -1(6p + 4) Reorder the terms: 8 + 2p = 5 + -1(4 + 6p) 8 + 2p = 5 + (4 * -1 + 6p * -1) 8 + 2p = 5 + (-4 + -6p) Combine like terms: 5 + -4 = 1 8 + 2p = 1 + -6p Solving 8 + 2p = 1 + -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. 8 + 2p + 6p = 1 + -6p + 6p Combine like terms: 2p + 6p = 8p 8 + 8p = 1 + -6p + 6p Combine like terms: -6p + 6p = 0 8 + 8p = 1 + 0 8 + 8p = 1 Add '-8' to each side of the equation. 8 + -8 + 8p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 8p = 1 + -8 8p = 1 + -8 Combine like terms: 1 + -8 = -7 8p = -7 Divide each side by '8'. p = -0.875 Simplifying p = -0.875
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