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Simplifying 10 + 8(p + -2) = 7(p + 1) Reorder the terms: 10 + 8(-2 + p) = 7(p + 1) 10 + (-2 * 8 + p * 8) = 7(p + 1) 10 + (-16 + 8p) = 7(p + 1) Combine like terms: 10 + -16 = -6 -6 + 8p = 7(p + 1) Reorder the terms: -6 + 8p = 7(1 + p) -6 + 8p = (1 * 7 + p * 7) -6 + 8p = (7 + 7p) Solving -6 + 8p = 7 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -6 + 8p + -7p = 7 + 7p + -7p Combine like terms: 8p + -7p = 1p -6 + 1p = 7 + 7p + -7p Combine like terms: 7p + -7p = 0 -6 + 1p = 7 + 0 -6 + 1p = 7 Add '6' to each side of the equation. -6 + 6 + 1p = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 1p = 7 + 6 1p = 7 + 6 Combine like terms: 7 + 6 = 13 1p = 13 Divide each side by '1'. p = 13 Simplifying p = 13
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