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Simplifying 14p + -6(p + 3) = p + 6 Reorder the terms: 14p + -6(3 + p) = p + 6 14p + (3 * -6 + p * -6) = p + 6 14p + (-18 + -6p) = p + 6 Reorder the terms: -18 + 14p + -6p = p + 6 Combine like terms: 14p + -6p = 8p -18 + 8p = p + 6 Reorder the terms: -18 + 8p = 6 + p Solving -18 + 8p = 6 + 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. -18 + 8p + -1p = 6 + p + -1p Combine like terms: 8p + -1p = 7p -18 + 7p = 6 + p + -1p Combine like terms: p + -1p = 0 -18 + 7p = 6 + 0 -18 + 7p = 6 Add '18' to each side of the equation. -18 + 18 + 7p = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 7p = 6 + 18 7p = 6 + 18 Combine like terms: 6 + 18 = 24 7p = 24 Divide each side by '7'. p = 3.428571429 Simplifying p = 3.428571429
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