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Simplifying 5(1 + 4p) = -8(p + 2) + -7 (1 * 5 + 4p * 5) = -8(p + 2) + -7 (5 + 20p) = -8(p + 2) + -7 Reorder the terms: 5 + 20p = -8(2 + p) + -7 5 + 20p = (2 * -8 + p * -8) + -7 5 + 20p = (-16 + -8p) + -7 Reorder the terms: 5 + 20p = -16 + -7 + -8p Combine like terms: -16 + -7 = -23 5 + 20p = -23 + -8p Solving 5 + 20p = -23 + -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. 5 + 20p + 8p = -23 + -8p + 8p Combine like terms: 20p + 8p = 28p 5 + 28p = -23 + -8p + 8p Combine like terms: -8p + 8p = 0 5 + 28p = -23 + 0 5 + 28p = -23 Add '-5' to each side of the equation. 5 + -5 + 28p = -23 + -5 Combine like terms: 5 + -5 = 0 0 + 28p = -23 + -5 28p = -23 + -5 Combine like terms: -23 + -5 = -28 28p = -28 Divide each side by '28'. p = -1 Simplifying p = -1
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