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Simplifying -8(1 + 2p) + 7p = -2(5p + -8) + 4p (1 * -8 + 2p * -8) + 7p = -2(5p + -8) + 4p (-8 + -16p) + 7p = -2(5p + -8) + 4p Combine like terms: -16p + 7p = -9p -8 + -9p = -2(5p + -8) + 4p Reorder the terms: -8 + -9p = -2(-8 + 5p) + 4p -8 + -9p = (-8 * -2 + 5p * -2) + 4p -8 + -9p = (16 + -10p) + 4p Combine like terms: -10p + 4p = -6p -8 + -9p = 16 + -6p Solving -8 + -9p = 16 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -8 + -9p + 6p = 16 + -6p + 6p Combine like terms: -9p + 6p = -3p -8 + -3p = 16 + -6p + 6p Combine like terms: -6p + 6p = 0 -8 + -3p = 16 + 0 -8 + -3p = 16 Add '8' to each side of the equation. -8 + 8 + -3p = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -3p = 16 + 8 -3p = 16 + 8 Combine like terms: 16 + 8 = 24 -3p = 24 Divide each side by '-3'. p = -8 Simplifying p = -8
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