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Simplifying 8 + 5(6 + -3p) = -16 + -6p 8 + (6 * 5 + -3p * 5) = -16 + -6p 8 + (30 + -15p) = -16 + -6p Combine like terms: 8 + 30 = 38 38 + -15p = -16 + -6p Solving 38 + -15p = -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. 38 + -15p + 6p = -16 + -6p + 6p Combine like terms: -15p + 6p = -9p 38 + -9p = -16 + -6p + 6p Combine like terms: -6p + 6p = 0 38 + -9p = -16 + 0 38 + -9p = -16 Add '-38' to each side of the equation. 38 + -38 + -9p = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -9p = -16 + -38 -9p = -16 + -38 Combine like terms: -16 + -38 = -54 -9p = -54 Divide each side by '-9'. p = 6 Simplifying p = 6
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