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Simplifying 3a + -4b + c + 8 = -5b + -1c + -2 Reorder the terms: 8 + 3a + -4b + c = -5b + -1c + -2 Reorder the terms: 8 + 3a + -4b + c = -2 + -5b + -1c Solving 8 + 3a + -4b + c = -2 + -5b + -1c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3a + -4b + -8 + c = -2 + -5b + -8 + -1c Reorder the terms: 8 + -8 + 3a + -4b + c = -2 + -5b + -8 + -1c Combine like terms: 8 + -8 = 0 0 + 3a + -4b + c = -2 + -5b + -8 + -1c 3a + -4b + c = -2 + -5b + -8 + -1c Reorder the terms: 3a + -4b + c = -2 + -8 + -5b + -1c Combine like terms: -2 + -8 = -10 3a + -4b + c = -10 + -5b + -1c Add '4b' to each side of the equation. 3a + -4b + 4b + c = -10 + -5b + 4b + -1c Combine like terms: -4b + 4b = 0 3a + 0 + c = -10 + -5b + 4b + -1c 3a + c = -10 + -5b + 4b + -1c Combine like terms: -5b + 4b = -1b 3a + c = -10 + -1b + -1c Add '-1c' to each side of the equation. 3a + c + -1c = -10 + -1b + -1c + -1c Combine like terms: c + -1c = 0 3a + 0 = -10 + -1b + -1c + -1c 3a = -10 + -1b + -1c + -1c Combine like terms: -1c + -1c = -2c 3a = -10 + -1b + -2c Divide each side by '3'. a = -3.333333333 + -0.3333333333b + -0.6666666667c Simplifying a = -3.333333333 + -0.3333333333b + -0.6666666667c
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