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Simplifying 5a + 7 + 3b + -12 = 0 Reorder the terms: 7 + -12 + 5a + 3b = 0 Combine like terms: 7 + -12 = -5 -5 + 5a + 3b = 0 Solving -5 + 5a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5a + 5 + 3b = 0 + 5 Reorder the terms: -5 + 5 + 5a + 3b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5a + 3b = 0 + 5 5a + 3b = 0 + 5 Combine like terms: 0 + 5 = 5 5a + 3b = 5 Add '-3b' to each side of the equation. 5a + 3b + -3b = 5 + -3b Combine like terms: 3b + -3b = 0 5a + 0 = 5 + -3b 5a = 5 + -3b Divide each side by '5'. a = 1 + -0.6b Simplifying a = 1 + -0.6b
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