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Simplifying 4(2p + -7) = 5(10 + -1p) Reorder the terms: 4(-7 + 2p) = 5(10 + -1p) (-7 * 4 + 2p * 4) = 5(10 + -1p) (-28 + 8p) = 5(10 + -1p) -28 + 8p = (10 * 5 + -1p * 5) -28 + 8p = (50 + -5p) Solving -28 + 8p = 50 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -28 + 8p + 5p = 50 + -5p + 5p Combine like terms: 8p + 5p = 13p -28 + 13p = 50 + -5p + 5p Combine like terms: -5p + 5p = 0 -28 + 13p = 50 + 0 -28 + 13p = 50 Add '28' to each side of the equation. -28 + 28 + 13p = 50 + 28 Combine like terms: -28 + 28 = 0 0 + 13p = 50 + 28 13p = 50 + 28 Combine like terms: 50 + 28 = 78 13p = 78 Divide each side by '13'. p = 6 Simplifying p = 6
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