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Simplifying 1p + -1q + 6r = 5a + 3g + -7c Reorder the terms: 1p + -1q + 6r = 5a + -7c + 3g Solving 1p + -1q + 6r = 5a + -7c + 3g Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'q' to each side of the equation. 1p + -1q + q + 6r = 5a + -7c + 3g + q Combine like terms: -1q + q = 0 1p + 0 + 6r = 5a + -7c + 3g + q 1p + 6r = 5a + -7c + 3g + q Add '-6r' to each side of the equation. 1p + 6r + -6r = 5a + -7c + 3g + q + -6r Combine like terms: 6r + -6r = 0 1p + 0 = 5a + -7c + 3g + q + -6r 1p = 5a + -7c + 3g + q + -6r Divide each side by '1'. p = 5a + -7c + 3g + q + -6r Simplifying p = 5a + -7c + 3g + q + -6r
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