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Simplifying -3(-7p + -6) + -7 = p + -29 Reorder the terms: -3(-6 + -7p) + -7 = p + -29 (-6 * -3 + -7p * -3) + -7 = p + -29 (18 + 21p) + -7 = p + -29 Reorder the terms: 18 + -7 + 21p = p + -29 Combine like terms: 18 + -7 = 11 11 + 21p = p + -29 Reorder the terms: 11 + 21p = -29 + p Solving 11 + 21p = -29 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 11 + 21p + -1p = -29 + p + -1p Combine like terms: 21p + -1p = 20p 11 + 20p = -29 + p + -1p Combine like terms: p + -1p = 0 11 + 20p = -29 + 0 11 + 20p = -29 Add '-11' to each side of the equation. 11 + -11 + 20p = -29 + -11 Combine like terms: 11 + -11 = 0 0 + 20p = -29 + -11 20p = -29 + -11 Combine like terms: -29 + -11 = -40 20p = -40 Divide each side by '20'. p = -2 Simplifying p = -2
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