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Simplifying 5a + -3b + 18 = b + -1a + -8 Reorder the terms: 18 + 5a + -3b = b + -1a + -8 Reorder the terms: 18 + 5a + -3b = -8 + -1a + b Solving 18 + 5a + -3b = -8 + -1a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 18 + 5a + a + -3b = -8 + -1a + a + b Combine like terms: 5a + a = 6a 18 + 6a + -3b = -8 + -1a + a + b Combine like terms: -1a + a = 0 18 + 6a + -3b = -8 + 0 + b 18 + 6a + -3b = -8 + b Add '-18' to each side of the equation. 18 + 6a + -18 + -3b = -8 + -18 + b Reorder the terms: 18 + -18 + 6a + -3b = -8 + -18 + b Combine like terms: 18 + -18 = 0 0 + 6a + -3b = -8 + -18 + b 6a + -3b = -8 + -18 + b Combine like terms: -8 + -18 = -26 6a + -3b = -26 + b Add '3b' to each side of the equation. 6a + -3b + 3b = -26 + b + 3b Combine like terms: -3b + 3b = 0 6a + 0 = -26 + b + 3b 6a = -26 + b + 3b Combine like terms: b + 3b = 4b 6a = -26 + 4b Divide each side by '6'. a = -4.333333333 + 0.6666666667b Simplifying a = -4.333333333 + 0.6666666667b
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