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Simplifying 10 = 2(p + -7) + 6 Reorder the terms: 10 = 2(-7 + p) + 6 10 = (-7 * 2 + p * 2) + 6 10 = (-14 + 2p) + 6 Reorder the terms: 10 = -14 + 6 + 2p Combine like terms: -14 + 6 = -8 10 = -8 + 2p Solving 10 = -8 + 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. 10 + -2p = -8 + 2p + -2p Combine like terms: 2p + -2p = 0 10 + -2p = -8 + 0 10 + -2p = -8 Add '-10' to each side of the equation. 10 + -10 + -2p = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -2p = -8 + -10 -2p = -8 + -10 Combine like terms: -8 + -10 = -18 -2p = -18 Divide each side by '-2'. p = 9 Simplifying p = 9
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