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Simplifying (7a + 11b + -10c + -9)(7) = 0 Reorder the terms: (-9 + 7a + 11b + -10c)(7) = 0 Reorder the terms for easier multiplication: 7(-9 + 7a + 11b + -10c) = 0 (-9 * 7 + 7a * 7 + 11b * 7 + -10c * 7) = 0 (-63 + 49a + 77b + -70c) = 0 Solving -63 + 49a + 77b + -70c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 49a + 77b + 63 + -70c = 0 + 63 Reorder the terms: -63 + 63 + 49a + 77b + -70c = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 49a + 77b + -70c = 0 + 63 49a + 77b + -70c = 0 + 63 Combine like terms: 0 + 63 = 63 49a + 77b + -70c = 63 Add '-77b' to each side of the equation. 49a + 77b + -77b + -70c = 63 + -77b Combine like terms: 77b + -77b = 0 49a + 0 + -70c = 63 + -77b 49a + -70c = 63 + -77b Add '70c' to each side of the equation. 49a + -70c + 70c = 63 + -77b + 70c Combine like terms: -70c + 70c = 0 49a + 0 = 63 + -77b + 70c 49a = 63 + -77b + 70c Divide each side by '49'. a = 1.285714286 + -1.571428571b + 1.428571429c Simplifying a = 1.285714286 + -1.571428571b + 1.428571429c
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