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Simplifying -5(2p + 3) + -49 = 3(3p + 4) Reorder the terms: -5(3 + 2p) + -49 = 3(3p + 4) (3 * -5 + 2p * -5) + -49 = 3(3p + 4) (-15 + -10p) + -49 = 3(3p + 4) Reorder the terms: -15 + -49 + -10p = 3(3p + 4) Combine like terms: -15 + -49 = -64 -64 + -10p = 3(3p + 4) Reorder the terms: -64 + -10p = 3(4 + 3p) -64 + -10p = (4 * 3 + 3p * 3) -64 + -10p = (12 + 9p) Solving -64 + -10p = 12 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -64 + -10p + -9p = 12 + 9p + -9p Combine like terms: -10p + -9p = -19p -64 + -19p = 12 + 9p + -9p Combine like terms: 9p + -9p = 0 -64 + -19p = 12 + 0 -64 + -19p = 12 Add '64' to each side of the equation. -64 + 64 + -19p = 12 + 64 Combine like terms: -64 + 64 = 0 0 + -19p = 12 + 64 -19p = 12 + 64 Combine like terms: 12 + 64 = 76 -19p = 76 Divide each side by '-19'. p = -4 Simplifying p = -4
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