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Simplifying b + 0.5[8 + -1(2c + a)] = 0 Reorder the terms: b + 0.5[8 + -1(a + 2c)] = 0 b + 0.5[8 + (a * -1 + 2c * -1)] = 0 b + 0.5[8 + (-1a + -2c)] = 0 b + [8 * 0.5 + -1a * 0.5 + -2c * 0.5] = 0 b + [4 + -0.5a + -1c] = 0 Reorder the terms: 4 + -0.5a + b + -1c = 0 Solving 4 + -0.5a + b + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -0.5a + b + -4 + -1c = 0 + -4 Reorder the terms: 4 + -4 + -0.5a + b + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5a + b + -1c = 0 + -4 -0.5a + b + -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -0.5a + b + -1c = -4 Add '-1b' to each side of the equation. -0.5a + b + -1b + -1c = -4 + -1b Combine like terms: b + -1b = 0 -0.5a + 0 + -1c = -4 + -1b -0.5a + -1c = -4 + -1b Add 'c' to each side of the equation. -0.5a + -1c + c = -4 + -1b + c Combine like terms: -1c + c = 0 -0.5a + 0 = -4 + -1b + c -0.5a = -4 + -1b + c Divide each side by '-0.5'. a = 8 + 2b + -2c Simplifying a = 8 + 2b + -2c
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