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Simplifying -1p + 4 = 3(9p + 10) + -3(-8 + 10) Reorder the terms: 4 + -1p = 3(9p + 10) + -3(-8 + 10) Reorder the terms: 4 + -1p = 3(10 + 9p) + -3(-8 + 10) 4 + -1p = (10 * 3 + 9p * 3) + -3(-8 + 10) 4 + -1p = (30 + 27p) + -3(-8 + 10) Combine like terms: -8 + 10 = 2 4 + -1p = 30 + 27p + -3(2) Multiply -3 * 2 4 + -1p = 30 + 27p + -6 Reorder the terms: 4 + -1p = 30 + -6 + 27p Combine like terms: 30 + -6 = 24 4 + -1p = 24 + 27p Solving 4 + -1p = 24 + 27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27p' to each side of the equation. 4 + -1p + -27p = 24 + 27p + -27p Combine like terms: -1p + -27p = -28p 4 + -28p = 24 + 27p + -27p Combine like terms: 27p + -27p = 0 4 + -28p = 24 + 0 4 + -28p = 24 Add '-4' to each side of the equation. 4 + -4 + -28p = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -28p = 24 + -4 -28p = 24 + -4 Combine like terms: 24 + -4 = 20 -28p = 20 Divide each side by '-28'. p = -0.7142857143 Simplifying p = -0.7142857143
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