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Simplifying 5p + -2q + -12 + 10q + -4r + 7 = 0 Reorder the terms: -12 + 7 + 5p + -2q + 10q + -4r = 0 Combine like terms: -12 + 7 = -5 -5 + 5p + -2q + 10q + -4r = 0 Combine like terms: -2q + 10q = 8q -5 + 5p + 8q + -4r = 0 Solving -5 + 5p + 8q + -4r = 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 + 5p + 8q + 5 + -4r = 0 + 5 Reorder the terms: -5 + 5 + 5p + 8q + -4r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5p + 8q + -4r = 0 + 5 5p + 8q + -4r = 0 + 5 Combine like terms: 0 + 5 = 5 5p + 8q + -4r = 5 Add '-8q' to each side of the equation. 5p + 8q + -8q + -4r = 5 + -8q Combine like terms: 8q + -8q = 0 5p + 0 + -4r = 5 + -8q 5p + -4r = 5 + -8q Add '4r' to each side of the equation. 5p + -4r + 4r = 5 + -8q + 4r Combine like terms: -4r + 4r = 0 5p + 0 = 5 + -8q + 4r 5p = 5 + -8q + 4r Divide each side by '5'. p = 1 + -1.6q + 0.8r Simplifying p = 1 + -1.6q + 0.8r
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