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Simplifying -5(p + -6) + 6(6 + 3p) = 14 Reorder the terms: -5(-6 + p) + 6(6 + 3p) = 14 (-6 * -5 + p * -5) + 6(6 + 3p) = 14 (30 + -5p) + 6(6 + 3p) = 14 30 + -5p + (6 * 6 + 3p * 6) = 14 30 + -5p + (36 + 18p) = 14 Reorder the terms: 30 + 36 + -5p + 18p = 14 Combine like terms: 30 + 36 = 66 66 + -5p + 18p = 14 Combine like terms: -5p + 18p = 13p 66 + 13p = 14 Solving 66 + 13p = 14 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 13p = 14 + -66 Combine like terms: 66 + -66 = 0 0 + 13p = 14 + -66 13p = 14 + -66 Combine like terms: 14 + -66 = -52 13p = -52 Divide each side by '13'. p = -4 Simplifying p = -4
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