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Simplifying 8(p + 6) = -2(3p + 4) Reorder the terms: 8(6 + p) = -2(3p + 4) (6 * 8 + p * 8) = -2(3p + 4) (48 + 8p) = -2(3p + 4) Reorder the terms: 48 + 8p = -2(4 + 3p) 48 + 8p = (4 * -2 + 3p * -2) 48 + 8p = (-8 + -6p) Solving 48 + 8p = -8 + -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. 48 + 8p + 6p = -8 + -6p + 6p Combine like terms: 8p + 6p = 14p 48 + 14p = -8 + -6p + 6p Combine like terms: -6p + 6p = 0 48 + 14p = -8 + 0 48 + 14p = -8 Add '-48' to each side of the equation. 48 + -48 + 14p = -8 + -48 Combine like terms: 48 + -48 = 0 0 + 14p = -8 + -48 14p = -8 + -48 Combine like terms: -8 + -48 = -56 14p = -56 Divide each side by '14'. p = -4 Simplifying p = -4
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