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Simplifying -8(1 + 2p) = -3p + -8 (1 * -8 + 2p * -8) = -3p + -8 (-8 + -16p) = -3p + -8 Reorder the terms: -8 + -16p = -8 + -3p Add '8' to each side of the equation. -8 + 8 + -16p = -8 + 8 + -3p Combine like terms: -8 + 8 = 0 0 + -16p = -8 + 8 + -3p -16p = -8 + 8 + -3p Combine like terms: -8 + 8 = 0 -16p = 0 + -3p -16p = -3p Solving -16p = -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -16p + 3p = -3p + 3p Combine like terms: -16p + 3p = -13p -13p = -3p + 3p Combine like terms: -3p + 3p = 0 -13p = 0 Divide each side by '-13'. p = 0 Simplifying p = 0
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