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Simplifying -6(4p + 3) + -49 = 5(2p + 7) Reorder the terms: -6(3 + 4p) + -49 = 5(2p + 7) (3 * -6 + 4p * -6) + -49 = 5(2p + 7) (-18 + -24p) + -49 = 5(2p + 7) Reorder the terms: -18 + -49 + -24p = 5(2p + 7) Combine like terms: -18 + -49 = -67 -67 + -24p = 5(2p + 7) Reorder the terms: -67 + -24p = 5(7 + 2p) -67 + -24p = (7 * 5 + 2p * 5) -67 + -24p = (35 + 10p) Solving -67 + -24p = 35 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -67 + -24p + -10p = 35 + 10p + -10p Combine like terms: -24p + -10p = -34p -67 + -34p = 35 + 10p + -10p Combine like terms: 10p + -10p = 0 -67 + -34p = 35 + 0 -67 + -34p = 35 Add '67' to each side of the equation. -67 + 67 + -34p = 35 + 67 Combine like terms: -67 + 67 = 0 0 + -34p = 35 + 67 -34p = 35 + 67 Combine like terms: 35 + 67 = 102 -34p = 102 Divide each side by '-34'. p = -3 Simplifying p = -3
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