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Simplifying 37 + -4a + 5b + -13 + 64a + b = 0 Reorder the terms: 37 + -13 + -4a + 64a + 5b + b = 0 Combine like terms: 37 + -13 = 24 24 + -4a + 64a + 5b + b = 0 Combine like terms: -4a + 64a = 60a 24 + 60a + 5b + b = 0 Combine like terms: 5b + b = 6b 24 + 60a + 6b = 0 Solving 24 + 60a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 60a + -24 + 6b = 0 + -24 Reorder the terms: 24 + -24 + 60a + 6b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 60a + 6b = 0 + -24 60a + 6b = 0 + -24 Combine like terms: 0 + -24 = -24 60a + 6b = -24 Add '-6b' to each side of the equation. 60a + 6b + -6b = -24 + -6b Combine like terms: 6b + -6b = 0 60a + 0 = -24 + -6b 60a = -24 + -6b Divide each side by '60'. a = -0.4 + -0.1b Simplifying a = -0.4 + -0.1b
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