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Simplifying 3p + -4q + -5 + 7q + -7r + 7 = 0 Reorder the terms: -5 + 7 + 3p + -4q + 7q + -7r = 0 Combine like terms: -5 + 7 = 2 2 + 3p + -4q + 7q + -7r = 0 Combine like terms: -4q + 7q = 3q 2 + 3p + 3q + -7r = 0 Solving 2 + 3p + 3q + -7r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3p + 3q + -2 + -7r = 0 + -2 Reorder the terms: 2 + -2 + 3p + 3q + -7r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3p + 3q + -7r = 0 + -2 3p + 3q + -7r = 0 + -2 Combine like terms: 0 + -2 = -2 3p + 3q + -7r = -2 Add '-3q' to each side of the equation. 3p + 3q + -3q + -7r = -2 + -3q Combine like terms: 3q + -3q = 0 3p + 0 + -7r = -2 + -3q 3p + -7r = -2 + -3q Add '7r' to each side of the equation. 3p + -7r + 7r = -2 + -3q + 7r Combine like terms: -7r + 7r = 0 3p + 0 = -2 + -3q + 7r 3p = -2 + -3q + 7r Divide each side by '3'. p = -0.6666666667 + -1q + 2.333333333r Simplifying p = -0.6666666667 + -1q + 2.333333333r
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