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Simplifying -2(5p + -4) + -6p = 5(-3 + -5p) Reorder the terms: -2(-4 + 5p) + -6p = 5(-3 + -5p) (-4 * -2 + 5p * -2) + -6p = 5(-3 + -5p) (8 + -10p) + -6p = 5(-3 + -5p) Combine like terms: -10p + -6p = -16p 8 + -16p = 5(-3 + -5p) 8 + -16p = (-3 * 5 + -5p * 5) 8 + -16p = (-15 + -25p) Solving 8 + -16p = -15 + -25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25p' to each side of the equation. 8 + -16p + 25p = -15 + -25p + 25p Combine like terms: -16p + 25p = 9p 8 + 9p = -15 + -25p + 25p Combine like terms: -25p + 25p = 0 8 + 9p = -15 + 0 8 + 9p = -15 Add '-8' to each side of the equation. 8 + -8 + 9p = -15 + -8 Combine like terms: 8 + -8 = 0 0 + 9p = -15 + -8 9p = -15 + -8 Combine like terms: -15 + -8 = -23 9p = -23 Divide each side by '9'. p = -2.555555556 Simplifying p = -2.555555556
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