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Simplifying 4p + (p + -4)(2) = 8p + -7 Reorder the terms: 4p + (-4 + p)(2) = 8p + -7 Reorder the terms for easier multiplication: 4p + 2(-4 + p) = 8p + -7 4p + (-4 * 2 + p * 2) = 8p + -7 4p + (-8 + 2p) = 8p + -7 Reorder the terms: -8 + 4p + 2p = 8p + -7 Combine like terms: 4p + 2p = 6p -8 + 6p = 8p + -7 Reorder the terms: -8 + 6p = -7 + 8p Solving -8 + 6p = -7 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -8 + 6p + -8p = -7 + 8p + -8p Combine like terms: 6p + -8p = -2p -8 + -2p = -7 + 8p + -8p Combine like terms: 8p + -8p = 0 -8 + -2p = -7 + 0 -8 + -2p = -7 Add '8' to each side of the equation. -8 + 8 + -2p = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -2p = -7 + 8 -2p = -7 + 8 Combine like terms: -7 + 8 = 1 -2p = 1 Divide each side by '-2'. p = -0.5 Simplifying p = -0.5
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