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Simplifying 68 = 7(p + 12) + -23 Reorder the terms: 68 = 7(12 + p) + -23 68 = (12 * 7 + p * 7) + -23 68 = (84 + 7p) + -23 Reorder the terms: 68 = 84 + -23 + 7p Combine like terms: 84 + -23 = 61 68 = 61 + 7p Solving 68 = 61 + 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. 68 + -7p = 61 + 7p + -7p Combine like terms: 7p + -7p = 0 68 + -7p = 61 + 0 68 + -7p = 61 Add '-68' to each side of the equation. 68 + -68 + -7p = 61 + -68 Combine like terms: 68 + -68 = 0 0 + -7p = 61 + -68 -7p = 61 + -68 Combine like terms: 61 + -68 = -7 -7p = -7 Divide each side by '-7'. p = 1 Simplifying p = 1
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