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Simplifying -2(6p + 2) = -5(3p + -9) + 8 Reorder the terms: -2(2 + 6p) = -5(3p + -9) + 8 (2 * -2 + 6p * -2) = -5(3p + -9) + 8 (-4 + -12p) = -5(3p + -9) + 8 Reorder the terms: -4 + -12p = -5(-9 + 3p) + 8 -4 + -12p = (-9 * -5 + 3p * -5) + 8 -4 + -12p = (45 + -15p) + 8 Reorder the terms: -4 + -12p = 45 + 8 + -15p Combine like terms: 45 + 8 = 53 -4 + -12p = 53 + -15p Solving -4 + -12p = 53 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. -4 + -12p + 15p = 53 + -15p + 15p Combine like terms: -12p + 15p = 3p -4 + 3p = 53 + -15p + 15p Combine like terms: -15p + 15p = 0 -4 + 3p = 53 + 0 -4 + 3p = 53 Add '4' to each side of the equation. -4 + 4 + 3p = 53 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = 53 + 4 3p = 53 + 4 Combine like terms: 53 + 4 = 57 3p = 57 Divide each side by '3'. p = 19 Simplifying p = 19
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