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Simplifying 3a + b + -20 = a + -4b + 42 Reorder the terms: -20 + 3a + b = a + -4b + 42 Reorder the terms: -20 + 3a + b = 42 + a + -4b Solving -20 + 3a + b = 42 + a + -4b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -20 + 3a + -1a + b = 42 + a + -1a + -4b Combine like terms: 3a + -1a = 2a -20 + 2a + b = 42 + a + -1a + -4b Combine like terms: a + -1a = 0 -20 + 2a + b = 42 + 0 + -4b -20 + 2a + b = 42 + -4b Add '20' to each side of the equation. -20 + 2a + 20 + b = 42 + 20 + -4b Reorder the terms: -20 + 20 + 2a + b = 42 + 20 + -4b Combine like terms: -20 + 20 = 0 0 + 2a + b = 42 + 20 + -4b 2a + b = 42 + 20 + -4b Combine like terms: 42 + 20 = 62 2a + b = 62 + -4b Add '-1b' to each side of the equation. 2a + b + -1b = 62 + -4b + -1b Combine like terms: b + -1b = 0 2a + 0 = 62 + -4b + -1b 2a = 62 + -4b + -1b Combine like terms: -4b + -1b = -5b 2a = 62 + -5b Divide each side by '2'. a = 31 + -2.5b Simplifying a = 31 + -2.5b
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