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Simplifying 4a + -6a + 10a + -12b = 0 Combine like terms: 4a + -6a = -2a -2a + 10a + -12b = 0 Combine like terms: -2a + 10a = 8a 8a + -12b = 0 Solving 8a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. 8a + -12b + 12b = 0 + 12b Combine like terms: -12b + 12b = 0 8a + 0 = 0 + 12b 8a = 0 + 12b Remove the zero: 8a = 12b Divide each side by '8'. a = 1.5b Simplifying a = 1.5b
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