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Simplifying -5p + 8 = 2(3p + -2) + -3(-8 + 5p) Reorder the terms: 8 + -5p = 2(3p + -2) + -3(-8 + 5p) Reorder the terms: 8 + -5p = 2(-2 + 3p) + -3(-8 + 5p) 8 + -5p = (-2 * 2 + 3p * 2) + -3(-8 + 5p) 8 + -5p = (-4 + 6p) + -3(-8 + 5p) 8 + -5p = -4 + 6p + (-8 * -3 + 5p * -3) 8 + -5p = -4 + 6p + (24 + -15p) Reorder the terms: 8 + -5p = -4 + 24 + 6p + -15p Combine like terms: -4 + 24 = 20 8 + -5p = 20 + 6p + -15p Combine like terms: 6p + -15p = -9p 8 + -5p = 20 + -9p Solving 8 + -5p = 20 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 8 + -5p + 9p = 20 + -9p + 9p Combine like terms: -5p + 9p = 4p 8 + 4p = 20 + -9p + 9p Combine like terms: -9p + 9p = 0 8 + 4p = 20 + 0 8 + 4p = 20 Add '-8' to each side of the equation. 8 + -8 + 4p = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 4p = 20 + -8 4p = 20 + -8 Combine like terms: 20 + -8 = 12 4p = 12 Divide each side by '4'. p = 3 Simplifying p = 3
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