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Simplifying 16 + 4a + b = 4 + 2a + b Add '-1b' to each side of the equation. 16 + 4a + b + -1b = 4 + 2a + b + -1b Combine like terms: b + -1b = 0 16 + 4a + 0 = 4 + 2a + b + -1b 16 + 4a = 4 + 2a + b + -1b Combine like terms: b + -1b = 0 16 + 4a = 4 + 2a + 0 16 + 4a = 4 + 2a Solving 16 + 4a = 4 + 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. 16 + 4a + -2a = 4 + 2a + -2a Combine like terms: 4a + -2a = 2a 16 + 2a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 16 + 2a = 4 + 0 16 + 2a = 4 Add '-16' to each side of the equation. 16 + -16 + 2a = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 2a = 4 + -16 2a = 4 + -16 Combine like terms: 4 + -16 = -12 2a = -12 Divide each side by '2'. a = -6 Simplifying a = -6
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