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Simplifying -6p = 3(2p + -3) + -4(-10 + 4p) Reorder the terms: -6p = 3(-3 + 2p) + -4(-10 + 4p) -6p = (-3 * 3 + 2p * 3) + -4(-10 + 4p) -6p = (-9 + 6p) + -4(-10 + 4p) -6p = -9 + 6p + (-10 * -4 + 4p * -4) -6p = -9 + 6p + (40 + -16p) Reorder the terms: -6p = -9 + 40 + 6p + -16p Combine like terms: -9 + 40 = 31 -6p = 31 + 6p + -16p Combine like terms: 6p + -16p = -10p -6p = 31 + -10p Solving -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. -6p + 10p = 31 + -10p + 10p Combine like terms: -6p + 10p = 4p 4p = 31 + -10p + 10p Combine like terms: -10p + 10p = 0 4p = 31 + 0 4p = 31 Divide each side by '4'. p = 7.75 Simplifying p = 7.75
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