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Simplifying 2p + 2 = -6(p + 4) + 7(7 + 3p) Reorder the terms: 2 + 2p = -6(p + 4) + 7(7 + 3p) Reorder the terms: 2 + 2p = -6(4 + p) + 7(7 + 3p) 2 + 2p = (4 * -6 + p * -6) + 7(7 + 3p) 2 + 2p = (-24 + -6p) + 7(7 + 3p) 2 + 2p = -24 + -6p + (7 * 7 + 3p * 7) 2 + 2p = -24 + -6p + (49 + 21p) Reorder the terms: 2 + 2p = -24 + 49 + -6p + 21p Combine like terms: -24 + 49 = 25 2 + 2p = 25 + -6p + 21p Combine like terms: -6p + 21p = 15p 2 + 2p = 25 + 15p Solving 2 + 2p = 25 + 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. 2 + 2p + -15p = 25 + 15p + -15p Combine like terms: 2p + -15p = -13p 2 + -13p = 25 + 15p + -15p Combine like terms: 15p + -15p = 0 2 + -13p = 25 + 0 2 + -13p = 25 Add '-2' to each side of the equation. 2 + -2 + -13p = 25 + -2 Combine like terms: 2 + -2 = 0 0 + -13p = 25 + -2 -13p = 25 + -2 Combine like terms: 25 + -2 = 23 -13p = 23 Divide each side by '-13'. p = -1.769230769 Simplifying p = -1.769230769
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