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Simplifying -6(3p + 4) + -26 = 2(2p + 8) Reorder the terms: -6(4 + 3p) + -26 = 2(2p + 8) (4 * -6 + 3p * -6) + -26 = 2(2p + 8) (-24 + -18p) + -26 = 2(2p + 8) Reorder the terms: -24 + -26 + -18p = 2(2p + 8) Combine like terms: -24 + -26 = -50 -50 + -18p = 2(2p + 8) Reorder the terms: -50 + -18p = 2(8 + 2p) -50 + -18p = (8 * 2 + 2p * 2) -50 + -18p = (16 + 4p) Solving -50 + -18p = 16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -50 + -18p + -4p = 16 + 4p + -4p Combine like terms: -18p + -4p = -22p -50 + -22p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 -50 + -22p = 16 + 0 -50 + -22p = 16 Add '50' to each side of the equation. -50 + 50 + -22p = 16 + 50 Combine like terms: -50 + 50 = 0 0 + -22p = 16 + 50 -22p = 16 + 50 Combine like terms: 16 + 50 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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