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Simplifying 3a + 7a + 5 + 17b + 2c + b + (-7a) = 0 Reorder the terms: 5 + 3a + 7a + (-7a) + 17b + b + 2c = 0 Combine like terms: 3a + 7a = 10a 5 + 10a + (-7a) + 17b + b + 2c = 0 Combine like terms: 10a + (-7a) = 3a 5 + 3a + 17b + b + 2c = 0 Combine like terms: 17b + b = 18b 5 + 3a + 18b + 2c = 0 Solving 5 + 3a + 18b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3a + 18b + -5 + 2c = 0 + -5 Reorder the terms: 5 + -5 + 3a + 18b + 2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a + 18b + 2c = 0 + -5 3a + 18b + 2c = 0 + -5 Combine like terms: 0 + -5 = -5 3a + 18b + 2c = -5 Add '-18b' to each side of the equation. 3a + 18b + -18b + 2c = -5 + -18b Combine like terms: 18b + -18b = 0 3a + 0 + 2c = -5 + -18b 3a + 2c = -5 + -18b Add '-2c' to each side of the equation. 3a + 2c + -2c = -5 + -18b + -2c Combine like terms: 2c + -2c = 0 3a + 0 = -5 + -18b + -2c 3a = -5 + -18b + -2c Divide each side by '3'. a = -1.666666667 + -6b + -0.6666666667c Simplifying a = -1.666666667 + -6b + -0.6666666667c
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