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Simplifying -15 = 4(1 + -4p) + -3(-5 + 6p) -15 = (1 * 4 + -4p * 4) + -3(-5 + 6p) -15 = (4 + -16p) + -3(-5 + 6p) -15 = 4 + -16p + (-5 * -3 + 6p * -3) -15 = 4 + -16p + (15 + -18p) Reorder the terms: -15 = 4 + 15 + -16p + -18p Combine like terms: 4 + 15 = 19 -15 = 19 + -16p + -18p Combine like terms: -16p + -18p = -34p -15 = 19 + -34p Solving -15 = 19 + -34p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '34p' to each side of the equation. -15 + 34p = 19 + -34p + 34p Combine like terms: -34p + 34p = 0 -15 + 34p = 19 + 0 -15 + 34p = 19 Add '15' to each side of the equation. -15 + 15 + 34p = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 34p = 19 + 15 34p = 19 + 15 Combine like terms: 19 + 15 = 34 34p = 34 Divide each side by '34'. p = 1 Simplifying p = 1
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