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Simplifying -4(2p + 2) + -26 = 3(5p + 4) Reorder the terms: -4(2 + 2p) + -26 = 3(5p + 4) (2 * -4 + 2p * -4) + -26 = 3(5p + 4) (-8 + -8p) + -26 = 3(5p + 4) Reorder the terms: -8 + -26 + -8p = 3(5p + 4) Combine like terms: -8 + -26 = -34 -34 + -8p = 3(5p + 4) Reorder the terms: -34 + -8p = 3(4 + 5p) -34 + -8p = (4 * 3 + 5p * 3) -34 + -8p = (12 + 15p) Solving -34 + -8p = 12 + 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. -34 + -8p + -15p = 12 + 15p + -15p Combine like terms: -8p + -15p = -23p -34 + -23p = 12 + 15p + -15p Combine like terms: 15p + -15p = 0 -34 + -23p = 12 + 0 -34 + -23p = 12 Add '34' to each side of the equation. -34 + 34 + -23p = 12 + 34 Combine like terms: -34 + 34 = 0 0 + -23p = 12 + 34 -23p = 12 + 34 Combine like terms: 12 + 34 = 46 -23p = 46 Divide each side by '-23'. p = -2 Simplifying p = -2
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