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Simplifying -1p + 14 = -1(6 + -3p) + -4 Reorder the terms: 14 + -1p = -1(6 + -3p) + -4 14 + -1p = (6 * -1 + -3p * -1) + -4 14 + -1p = (-6 + 3p) + -4 Reorder the terms: 14 + -1p = -6 + -4 + 3p Combine like terms: -6 + -4 = -10 14 + -1p = -10 + 3p Solving 14 + -1p = -10 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 14 + -1p + -3p = -10 + 3p + -3p Combine like terms: -1p + -3p = -4p 14 + -4p = -10 + 3p + -3p Combine like terms: 3p + -3p = 0 14 + -4p = -10 + 0 14 + -4p = -10 Add '-14' to each side of the equation. 14 + -14 + -4p = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -4p = -10 + -14 -4p = -10 + -14 Combine like terms: -10 + -14 = -24 -4p = -24 Divide each side by '-4'. p = 6 Simplifying p = 6
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