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Simplifying 13 = 2(p + -6) + 7 Reorder the terms: 13 = 2(-6 + p) + 7 13 = (-6 * 2 + p * 2) + 7 13 = (-12 + 2p) + 7 Reorder the terms: 13 = -12 + 7 + 2p Combine like terms: -12 + 7 = -5 13 = -5 + 2p Solving 13 = -5 + 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. 13 + -2p = -5 + 2p + -2p Combine like terms: 2p + -2p = 0 13 + -2p = -5 + 0 13 + -2p = -5 Add '-13' to each side of the equation. 13 + -13 + -2p = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -2p = -5 + -13 -2p = -5 + -13 Combine like terms: -5 + -13 = -18 -2p = -18 Divide each side by '-2'. p = 9 Simplifying p = 9
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