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Simplifying 14p + -2(3p + -7) = 3(3p + -7) + -8p Reorder the terms: 14p + -2(-7 + 3p) = 3(3p + -7) + -8p 14p + (-7 * -2 + 3p * -2) = 3(3p + -7) + -8p 14p + (14 + -6p) = 3(3p + -7) + -8p Reorder the terms: 14 + 14p + -6p = 3(3p + -7) + -8p Combine like terms: 14p + -6p = 8p 14 + 8p = 3(3p + -7) + -8p Reorder the terms: 14 + 8p = 3(-7 + 3p) + -8p 14 + 8p = (-7 * 3 + 3p * 3) + -8p 14 + 8p = (-21 + 9p) + -8p Combine like terms: 9p + -8p = 1p 14 + 8p = -21 + 1p Solving 14 + 8p = -21 + 1p 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. 14 + 8p + -1p = -21 + 1p + -1p Combine like terms: 8p + -1p = 7p 14 + 7p = -21 + 1p + -1p Combine like terms: 1p + -1p = 0 14 + 7p = -21 + 0 14 + 7p = -21 Add '-14' to each side of the equation. 14 + -14 + 7p = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 7p = -21 + -14 7p = -21 + -14 Combine like terms: -21 + -14 = -35 7p = -35 Divide each side by '7'. p = -5 Simplifying p = -5
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