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Simplifying 4a + 5b = 12a + -7b Solving 4a + 5b = 12a + -7b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 4a + -12a + 5b = 12a + -12a + -7b Combine like terms: 4a + -12a = -8a -8a + 5b = 12a + -12a + -7b Combine like terms: 12a + -12a = 0 -8a + 5b = 0 + -7b -8a + 5b = -7b Add '-5b' to each side of the equation. -8a + 5b + -5b = -7b + -5b Combine like terms: 5b + -5b = 0 -8a + 0 = -7b + -5b -8a = -7b + -5b Combine like terms: -7b + -5b = -12b -8a = -12b Divide each side by '-8'. a = 1.5b Simplifying a = 1.5b
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