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Simplifying 4a + -8b = 12a + 16b Solving 4a + -8b = 12a + 16b 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 + -8b = 12a + -12a + 16b Combine like terms: 4a + -12a = -8a -8a + -8b = 12a + -12a + 16b Combine like terms: 12a + -12a = 0 -8a + -8b = 0 + 16b -8a + -8b = 16b Add '8b' to each side of the equation. -8a + -8b + 8b = 16b + 8b Combine like terms: -8b + 8b = 0 -8a + 0 = 16b + 8b -8a = 16b + 8b Combine like terms: 16b + 8b = 24b -8a = 24b Divide each side by '-8'. a = -3b Simplifying a = -3b
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