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Simplifying 14p + -6 + -1(p + 3) = p + 9 Reorder the terms: 14p + -6 + -1(3 + p) = p + 9 14p + -6 + (3 * -1 + p * -1) = p + 9 14p + -6 + (-3 + -1p) = p + 9 Reorder the terms: -6 + -3 + 14p + -1p = p + 9 Combine like terms: -6 + -3 = -9 -9 + 14p + -1p = p + 9 Combine like terms: 14p + -1p = 13p -9 + 13p = p + 9 Reorder the terms: -9 + 13p = 9 + p Solving -9 + 13p = 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. -9 + 13p + -1p = 9 + p + -1p Combine like terms: 13p + -1p = 12p -9 + 12p = 9 + p + -1p Combine like terms: p + -1p = 0 -9 + 12p = 9 + 0 -9 + 12p = 9 Add '9' to each side of the equation. -9 + 9 + 12p = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 12p = 9 + 9 12p = 9 + 9 Combine like terms: 9 + 9 = 18 12p = 18 Divide each side by '12'. p = 1.5 Simplifying p = 1.5
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