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Simplifying -6p + 8 = 3(2p + -3) + -4(-10 + 4p) Reorder the terms: 8 + -6p = 3(2p + -3) + -4(-10 + 4p) Reorder the terms: 8 + -6p = 3(-3 + 2p) + -4(-10 + 4p) 8 + -6p = (-3 * 3 + 2p * 3) + -4(-10 + 4p) 8 + -6p = (-9 + 6p) + -4(-10 + 4p) 8 + -6p = -9 + 6p + (-10 * -4 + 4p * -4) 8 + -6p = -9 + 6p + (40 + -16p) Reorder the terms: 8 + -6p = -9 + 40 + 6p + -16p Combine like terms: -9 + 40 = 31 8 + -6p = 31 + 6p + -16p Combine like terms: 6p + -16p = -10p 8 + -6p = 31 + -10p Solving 8 + -6p = 31 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 8 + -6p + 10p = 31 + -10p + 10p Combine like terms: -6p + 10p = 4p 8 + 4p = 31 + -10p + 10p Combine like terms: -10p + 10p = 0 8 + 4p = 31 + 0 8 + 4p = 31 Add '-8' to each side of the equation. 8 + -8 + 4p = 31 + -8 Combine like terms: 8 + -8 = 0 0 + 4p = 31 + -8 4p = 31 + -8 Combine like terms: 31 + -8 = 23 4p = 23 Divide each side by '4'. p = 5.75 Simplifying p = 5.75
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