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Simplifying 5(4 + -6p) = -14 + 4p (4 * 5 + -6p * 5) = -14 + 4p (20 + -30p) = -14 + 4p Solving 20 + -30p = -14 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 20 + -30p + -4p = -14 + 4p + -4p Combine like terms: -30p + -4p = -34p 20 + -34p = -14 + 4p + -4p Combine like terms: 4p + -4p = 0 20 + -34p = -14 + 0 20 + -34p = -14 Add '-20' to each side of the equation. 20 + -20 + -34p = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -34p = -14 + -20 -34p = -14 + -20 Combine like terms: -14 + -20 = -34 -34p = -34 Divide each side by '-34'. p = 1 Simplifying p = 1
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