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Simplifying 2p + 3q + -5p + -7 + 12 = 0 Reorder the terms: -7 + 12 + 2p + -5p + 3q = 0 Combine like terms: -7 + 12 = 5 5 + 2p + -5p + 3q = 0 Combine like terms: 2p + -5p = -3p 5 + -3p + 3q = 0 Solving 5 + -3p + 3q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -3p + -5 + 3q = 0 + -5 Reorder the terms: 5 + -5 + -3p + 3q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3p + 3q = 0 + -5 -3p + 3q = 0 + -5 Combine like terms: 0 + -5 = -5 -3p + 3q = -5 Add '-3q' to each side of the equation. -3p + 3q + -3q = -5 + -3q Combine like terms: 3q + -3q = 0 -3p + 0 = -5 + -3q -3p = -5 + -3q Divide each side by '-3'. p = 1.666666667 + q Simplifying p = 1.666666667 + q
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