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Simplifying 1p + 8q + 6 * 5 + -4r + -3 * 2q + 6r = 0 Multiply 6 * 5 1p + 8q + 30 + -4r + -3 * 2q + 6r = 0 Multiply -3 * 2 1p + 8q + 30 + -4r + -6q + 6r = 0 Reorder the terms: 30 + 1p + 8q + -6q + -4r + 6r = 0 Combine like terms: 8q + -6q = 2q 30 + 1p + 2q + -4r + 6r = 0 Combine like terms: -4r + 6r = 2r 30 + 1p + 2q + 2r = 0 Solving 30 + 1p + 2q + 2r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 1p + 2q + -30 + 2r = 0 + -30 Reorder the terms: 30 + -30 + 1p + 2q + 2r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1p + 2q + 2r = 0 + -30 1p + 2q + 2r = 0 + -30 Combine like terms: 0 + -30 = -30 1p + 2q + 2r = -30 Add '-2q' to each side of the equation. 1p + 2q + -2q + 2r = -30 + -2q Combine like terms: 2q + -2q = 0 1p + 0 + 2r = -30 + -2q 1p + 2r = -30 + -2q Add '-2r' to each side of the equation. 1p + 2r + -2r = -30 + -2q + -2r Combine like terms: 2r + -2r = 0 1p + 0 = -30 + -2q + -2r 1p = -30 + -2q + -2r Divide each side by '1'. p = -30 + -2q + -2r Simplifying p = -30 + -2q + -2r
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