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Simplifying 3 + -1(p + -4) = 14 + 6p Reorder the terms: 3 + -1(-4 + p) = 14 + 6p 3 + (-4 * -1 + p * -1) = 14 + 6p 3 + (4 + -1p) = 14 + 6p Combine like terms: 3 + 4 = 7 7 + -1p = 14 + 6p Solving 7 + -1p = 14 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 7 + -1p + -6p = 14 + 6p + -6p Combine like terms: -1p + -6p = -7p 7 + -7p = 14 + 6p + -6p Combine like terms: 6p + -6p = 0 7 + -7p = 14 + 0 7 + -7p = 14 Add '-7' to each side of the equation. 7 + -7 + -7p = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -7p = 14 + -7 -7p = 14 + -7 Combine like terms: 14 + -7 = 7 -7p = 7 Divide each side by '-7'. p = -1 Simplifying p = -1
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