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Simplifying (8a + 14b + -7c + -5)(2) = 0 Reorder the terms: (-5 + 8a + 14b + -7c)(2) = 0 Reorder the terms for easier multiplication: 2(-5 + 8a + 14b + -7c) = 0 (-5 * 2 + 8a * 2 + 14b * 2 + -7c * 2) = 0 (-10 + 16a + 28b + -14c) = 0 Solving -10 + 16a + 28b + -14c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 16a + 28b + 10 + -14c = 0 + 10 Reorder the terms: -10 + 10 + 16a + 28b + -14c = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 16a + 28b + -14c = 0 + 10 16a + 28b + -14c = 0 + 10 Combine like terms: 0 + 10 = 10 16a + 28b + -14c = 10 Add '-28b' to each side of the equation. 16a + 28b + -28b + -14c = 10 + -28b Combine like terms: 28b + -28b = 0 16a + 0 + -14c = 10 + -28b 16a + -14c = 10 + -28b Add '14c' to each side of the equation. 16a + -14c + 14c = 10 + -28b + 14c Combine like terms: -14c + 14c = 0 16a + 0 = 10 + -28b + 14c 16a = 10 + -28b + 14c Divide each side by '16'. a = 0.625 + -1.75b + 0.875c Simplifying a = 0.625 + -1.75b + 0.875c
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