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Simplifying -8(2p + 11) = -8(p + 3) Reorder the terms: -8(11 + 2p) = -8(p + 3) (11 * -8 + 2p * -8) = -8(p + 3) (-88 + -16p) = -8(p + 3) Reorder the terms: -88 + -16p = -8(3 + p) -88 + -16p = (3 * -8 + p * -8) -88 + -16p = (-24 + -8p) Solving -88 + -16p = -24 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -88 + -16p + 8p = -24 + -8p + 8p Combine like terms: -16p + 8p = -8p -88 + -8p = -24 + -8p + 8p Combine like terms: -8p + 8p = 0 -88 + -8p = -24 + 0 -88 + -8p = -24 Add '88' to each side of the equation. -88 + 88 + -8p = -24 + 88 Combine like terms: -88 + 88 = 0 0 + -8p = -24 + 88 -8p = -24 + 88 Combine like terms: -24 + 88 = 64 -8p = 64 Divide each side by '-8'. p = -8 Simplifying p = -8
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