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Simplifying 11 + 6p = -6 + 7(p + 3) Reorder the terms: 11 + 6p = -6 + 7(3 + p) 11 + 6p = -6 + (3 * 7 + p * 7) 11 + 6p = -6 + (21 + 7p) Combine like terms: -6 + 21 = 15 11 + 6p = 15 + 7p Solving 11 + 6p = 15 + 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. 11 + 6p + -7p = 15 + 7p + -7p Combine like terms: 6p + -7p = -1p 11 + -1p = 15 + 7p + -7p Combine like terms: 7p + -7p = 0 11 + -1p = 15 + 0 11 + -1p = 15 Add '-11' to each side of the equation. 11 + -11 + -1p = 15 + -11 Combine like terms: 11 + -11 = 0 0 + -1p = 15 + -11 -1p = 15 + -11 Combine like terms: 15 + -11 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4
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