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Simplifying 4a + 3b + 42 = 180 Reorder the terms: 42 + 4a + 3b = 180 Solving 42 + 4a + 3b = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 4a + -42 + 3b = 180 + -42 Reorder the terms: 42 + -42 + 4a + 3b = 180 + -42 Combine like terms: 42 + -42 = 0 0 + 4a + 3b = 180 + -42 4a + 3b = 180 + -42 Combine like terms: 180 + -42 = 138 4a + 3b = 138 Add '-3b' to each side of the equation. 4a + 3b + -3b = 138 + -3b Combine like terms: 3b + -3b = 0 4a + 0 = 138 + -3b 4a = 138 + -3b Divide each side by '4'. a = 34.5 + -0.75b Simplifying a = 34.5 + -0.75b
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