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Simplifying 14 + -1(9p + -1q) + -5(p + 6) + 79 = 0 14 + (9p * -1 + -1q * -1) + -5(p + 6) + 79 = 0 14 + (-9p + 1q) + -5(p + 6) + 79 = 0 Reorder the terms: 14 + -9p + 1q + -5(6 + p) + 79 = 0 14 + -9p + 1q + (6 * -5 + p * -5) + 79 = 0 14 + -9p + 1q + (-30 + -5p) + 79 = 0 Reorder the terms: 14 + -30 + 79 + -9p + -5p + 1q = 0 Combine like terms: 14 + -30 = -16 -16 + 79 + -9p + -5p + 1q = 0 Combine like terms: -16 + 79 = 63 63 + -9p + -5p + 1q = 0 Combine like terms: -9p + -5p = -14p 63 + -14p + 1q = 0 Solving 63 + -14p + 1q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -14p + -63 + 1q = 0 + -63 Reorder the terms: 63 + -63 + -14p + 1q = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -14p + 1q = 0 + -63 -14p + 1q = 0 + -63 Combine like terms: 0 + -63 = -63 -14p + 1q = -63 Add '-1q' to each side of the equation. -14p + 1q + -1q = -63 + -1q Combine like terms: 1q + -1q = 0 -14p + 0 = -63 + -1q -14p = -63 + -1q Divide each side by '-14'. p = 4.5 + 0.07142857143q Simplifying p = 4.5 + 0.07142857143q
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