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Simplifying 7(-7p + 6) + -7p = 16 + 2p Reorder the terms: 7(6 + -7p) + -7p = 16 + 2p (6 * 7 + -7p * 7) + -7p = 16 + 2p (42 + -49p) + -7p = 16 + 2p Combine like terms: -49p + -7p = -56p 42 + -56p = 16 + 2p Solving 42 + -56p = 16 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 42 + -56p + -2p = 16 + 2p + -2p Combine like terms: -56p + -2p = -58p 42 + -58p = 16 + 2p + -2p Combine like terms: 2p + -2p = 0 42 + -58p = 16 + 0 42 + -58p = 16 Add '-42' to each side of the equation. 42 + -42 + -58p = 16 + -42 Combine like terms: 42 + -42 = 0 0 + -58p = 16 + -42 -58p = 16 + -42 Combine like terms: 16 + -42 = -26 -58p = -26 Divide each side by '-58'. p = 0.4482758621 Simplifying p = 0.4482758621
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