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Simplifying 12 + 6p + 3q + -5p + 7q + -2 = 0 Reorder the terms: 12 + -2 + 6p + -5p + 3q + 7q = 0 Combine like terms: 12 + -2 = 10 10 + 6p + -5p + 3q + 7q = 0 Combine like terms: 6p + -5p = 1p 10 + 1p + 3q + 7q = 0 Combine like terms: 3q + 7q = 10q 10 + 1p + 10q = 0 Solving 10 + 1p + 10q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 1p + -10 + 10q = 0 + -10 Reorder the terms: 10 + -10 + 1p + 10q = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1p + 10q = 0 + -10 1p + 10q = 0 + -10 Combine like terms: 0 + -10 = -10 1p + 10q = -10 Add '-10q' to each side of the equation. 1p + 10q + -10q = -10 + -10q Combine like terms: 10q + -10q = 0 1p + 0 = -10 + -10q 1p = -10 + -10q Divide each side by '1'. p = -10 + -10q Simplifying p = -10 + -10q
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