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Simplifying 3a + 5b + -7a + 11b + 8a + -14b = 0 Reorder the terms: 3a + -7a + 8a + 5b + 11b + -14b = 0 Combine like terms: 3a + -7a = -4a -4a + 8a + 5b + 11b + -14b = 0 Combine like terms: -4a + 8a = 4a 4a + 5b + 11b + -14b = 0 Combine like terms: 5b + 11b = 16b 4a + 16b + -14b = 0 Combine like terms: 16b + -14b = 2b 4a + 2b = 0 Solving 4a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 4a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 4a + 0 = 0 + -2b 4a = 0 + -2b Remove the zero: 4a = -2b Divide each side by '4'. a = -0.5b Simplifying a = -0.5b
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