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Simplifying b + 18 = 4 + b + 2a + 12 Reorder the terms: 18 + b = 4 + b + 2a + 12 Reorder the terms: 18 + b = 4 + 12 + 2a + b Combine like terms: 4 + 12 = 16 18 + b = 16 + 2a + b Add '-1b' to each side of the equation. 18 + b + -1b = 16 + 2a + b + -1b Combine like terms: b + -1b = 0 18 + 0 = 16 + 2a + b + -1b 18 = 16 + 2a + b + -1b Combine like terms: b + -1b = 0 18 = 16 + 2a + 0 18 = 16 + 2a Solving 18 = 16 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 18 + -2a = 16 + 2a + -2a Combine like terms: 2a + -2a = 0 18 + -2a = 16 + 0 18 + -2a = 16 Add '-18' to each side of the equation. 18 + -18 + -2a = 16 + -18 Combine like terms: 18 + -18 = 0 0 + -2a = 16 + -18 -2a = 16 + -18 Combine like terms: 16 + -18 = -2 -2a = -2 Divide each side by '-2'. a = 1 Simplifying a = 1
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