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Simplifying 14p + -6(p + 3) + -7x = p + 9 Reorder the terms: 14p + -6(3 + p) + -7x = p + 9 14p + (3 * -6 + p * -6) + -7x = p + 9 14p + (-18 + -6p) + -7x = p + 9 Reorder the terms: -18 + 14p + -6p + -7x = p + 9 Combine like terms: 14p + -6p = 8p -18 + 8p + -7x = p + 9 Reorder the terms: -18 + 8p + -7x = 9 + p Solving -18 + 8p + -7x = 9 + 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 + -7x = 9 + p + -1p Combine like terms: 8p + -1p = 7p -18 + 7p + -7x = 9 + p + -1p Combine like terms: p + -1p = 0 -18 + 7p + -7x = 9 + 0 -18 + 7p + -7x = 9 Add '18' to each side of the equation. -18 + 7p + 18 + -7x = 9 + 18 Reorder the terms: -18 + 18 + 7p + -7x = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 7p + -7x = 9 + 18 7p + -7x = 9 + 18 Combine like terms: 9 + 18 = 27 7p + -7x = 27 Add '7x' to each side of the equation. 7p + -7x + 7x = 27 + 7x Combine like terms: -7x + 7x = 0 7p + 0 = 27 + 7x 7p = 27 + 7x Divide each side by '7'. p = 3.857142857 + x Simplifying p = 3.857142857 + x
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