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Simplifying 8 + -3(p + -5) = 2x + 6 Reorder the terms: 8 + -3(-5 + p) = 2x + 6 8 + (-5 * -3 + p * -3) = 2x + 6 8 + (15 + -3p) = 2x + 6 Combine like terms: 8 + 15 = 23 23 + -3p = 2x + 6 Reorder the terms: 23 + -3p = 6 + 2x Solving 23 + -3p = 6 + 2x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -3p = 6 + -23 + 2x Combine like terms: 23 + -23 = 0 0 + -3p = 6 + -23 + 2x -3p = 6 + -23 + 2x Combine like terms: 6 + -23 = -17 -3p = -17 + 2x Divide each side by '-3'. p = 5.666666667 + -0.6666666667x Simplifying p = 5.666666667 + -0.6666666667x
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