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Simplifying -5(3p + 3) + -34 = 2(2p + 4) Reorder the terms: -5(3 + 3p) + -34 = 2(2p + 4) (3 * -5 + 3p * -5) + -34 = 2(2p + 4) (-15 + -15p) + -34 = 2(2p + 4) Reorder the terms: -15 + -34 + -15p = 2(2p + 4) Combine like terms: -15 + -34 = -49 -49 + -15p = 2(2p + 4) Reorder the terms: -49 + -15p = 2(4 + 2p) -49 + -15p = (4 * 2 + 2p * 2) -49 + -15p = (8 + 4p) Solving -49 + -15p = 8 + 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. -49 + -15p + -4p = 8 + 4p + -4p Combine like terms: -15p + -4p = -19p -49 + -19p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 -49 + -19p = 8 + 0 -49 + -19p = 8 Add '49' to each side of the equation. -49 + 49 + -19p = 8 + 49 Combine like terms: -49 + 49 = 0 0 + -19p = 8 + 49 -19p = 8 + 49 Combine like terms: 8 + 49 = 57 -19p = 57 Divide each side by '-19'. p = -3 Simplifying p = -3
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