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Simplifying -6(2p + 3) + -8 = 2(3p + 5) Reorder the terms: -6(3 + 2p) + -8 = 2(3p + 5) (3 * -6 + 2p * -6) + -8 = 2(3p + 5) (-18 + -12p) + -8 = 2(3p + 5) Reorder the terms: -18 + -8 + -12p = 2(3p + 5) Combine like terms: -18 + -8 = -26 -26 + -12p = 2(3p + 5) Reorder the terms: -26 + -12p = 2(5 + 3p) -26 + -12p = (5 * 2 + 3p * 2) -26 + -12p = (10 + 6p) Solving -26 + -12p = 10 + 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. -26 + -12p + -6p = 10 + 6p + -6p Combine like terms: -12p + -6p = -18p -26 + -18p = 10 + 6p + -6p Combine like terms: 6p + -6p = 0 -26 + -18p = 10 + 0 -26 + -18p = 10 Add '26' to each side of the equation. -26 + 26 + -18p = 10 + 26 Combine like terms: -26 + 26 = 0 0 + -18p = 10 + 26 -18p = 10 + 26 Combine like terms: 10 + 26 = 36 -18p = 36 Divide each side by '-18'. p = -2 Simplifying p = -2
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