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Simplifying 3p + -4q + -12 + 10q + -2r + 7 = 0 Reorder the terms: -12 + 7 + 3p + -4q + 10q + -2r = 0 Combine like terms: -12 + 7 = -5 -5 + 3p + -4q + 10q + -2r = 0 Combine like terms: -4q + 10q = 6q -5 + 3p + 6q + -2r = 0 Solving -5 + 3p + 6q + -2r = 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 + 6q + 5 + -2r = 0 + 5 Reorder the terms: -5 + 5 + 3p + 6q + -2r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3p + 6q + -2r = 0 + 5 3p + 6q + -2r = 0 + 5 Combine like terms: 0 + 5 = 5 3p + 6q + -2r = 5 Add '-6q' to each side of the equation. 3p + 6q + -6q + -2r = 5 + -6q Combine like terms: 6q + -6q = 0 3p + 0 + -2r = 5 + -6q 3p + -2r = 5 + -6q Add '2r' to each side of the equation. 3p + -2r + 2r = 5 + -6q + 2r Combine like terms: -2r + 2r = 0 3p + 0 = 5 + -6q + 2r 3p = 5 + -6q + 2r Divide each side by '3'. p = 1.666666667 + -2q + 0.6666666667r Simplifying p = 1.666666667 + -2q + 0.6666666667r
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