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Simplifying 6a + -7b + -5c + -10a + 4b + -3c = 0 Reorder the terms: 6a + -10a + -7b + 4b + -5c + -3c = 0 Combine like terms: 6a + -10a = -4a -4a + -7b + 4b + -5c + -3c = 0 Combine like terms: -7b + 4b = -3b -4a + -3b + -5c + -3c = 0 Combine like terms: -5c + -3c = -8c -4a + -3b + -8c = 0 Solving -4a + -3b + -8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. -4a + -3b + 3b + -8c = 0 + 3b Combine like terms: -3b + 3b = 0 -4a + 0 + -8c = 0 + 3b -4a + -8c = 0 + 3b Remove the zero: -4a + -8c = 3b Add '8c' to each side of the equation. -4a + -8c + 8c = 3b + 8c Combine like terms: -8c + 8c = 0 -4a + 0 = 3b + 8c -4a = 3b + 8c Divide each side by '-4'. a = -0.75b + -2c Simplifying a = -0.75b + -2c
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