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Simplifying -3c + -2(2b + -1a) + -1b + -1c + -7a = 0 Reorder the terms: -3c + -2(-1a + 2b) + -1b + -1c + -7a = 0 -3c + (-1a * -2 + 2b * -2) + -1b + -1c + -7a = 0 -3c + (2a + -4b) + -1b + -1c + -7a = 0 Reorder the terms: 2a + -7a + -4b + -1b + -3c + -1c = 0 Combine like terms: 2a + -7a = -5a -5a + -4b + -1b + -3c + -1c = 0 Combine like terms: -4b + -1b = -5b -5a + -5b + -3c + -1c = 0 Combine like terms: -3c + -1c = -4c -5a + -5b + -4c = 0 Solving -5a + -5b + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. -5a + -5b + 5b + -4c = 0 + 5b Combine like terms: -5b + 5b = 0 -5a + 0 + -4c = 0 + 5b -5a + -4c = 0 + 5b Remove the zero: -5a + -4c = 5b Add '4c' to each side of the equation. -5a + -4c + 4c = 5b + 4c Combine like terms: -4c + 4c = 0 -5a + 0 = 5b + 4c -5a = 5b + 4c Divide each side by '-5'. a = -1b + -0.8c Simplifying a = -1b + -0.8c
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