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Simplifying -3(7p + 5) + -2(1 + -17p) = 3(8 + 4) Reorder the terms: -3(5 + 7p) + -2(1 + -17p) = 3(8 + 4) (5 * -3 + 7p * -3) + -2(1 + -17p) = 3(8 + 4) (-15 + -21p) + -2(1 + -17p) = 3(8 + 4) -15 + -21p + (1 * -2 + -17p * -2) = 3(8 + 4) -15 + -21p + (-2 + 34p) = 3(8 + 4) Reorder the terms: -15 + -2 + -21p + 34p = 3(8 + 4) Combine like terms: -15 + -2 = -17 -17 + -21p + 34p = 3(8 + 4) Combine like terms: -21p + 34p = 13p -17 + 13p = 3(8 + 4) Combine like terms: 8 + 4 = 12 -17 + 13p = 3(12) Multiply 3 * 12 -17 + 13p = 36 Solving -17 + 13p = 36 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 13p = 36 + 17 Combine like terms: -17 + 17 = 0 0 + 13p = 36 + 17 13p = 36 + 17 Combine like terms: 36 + 17 = 53 13p = 53 Divide each side by '13'. p = 4.076923077 Simplifying p = 4.076923077
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