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Simplifying 4a + 4b + -7(2a + -6b) = 0 4a + 4b + (2a * -7 + -6b * -7) = 0 4a + 4b + (-14a + 42b) = 0 Reorder the terms: 4a + -14a + 4b + 42b = 0 Combine like terms: 4a + -14a = -10a -10a + 4b + 42b = 0 Combine like terms: 4b + 42b = 46b -10a + 46b = 0 Solving -10a + 46b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-46b' to each side of the equation. -10a + 46b + -46b = 0 + -46b Combine like terms: 46b + -46b = 0 -10a + 0 = 0 + -46b -10a = 0 + -46b Remove the zero: -10a = -46b Divide each side by '-10'. a = 4.6b Simplifying a = 4.6b
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