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Simplifying 4b + 5c + -6a + -13 = 2 Reorder the terms: -13 + -6a + 4b + 5c = 2 Solving -13 + -6a + 4b + 5c = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + -6a + 4b + 13 + 5c = 2 + 13 Reorder the terms: -13 + 13 + -6a + 4b + 5c = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -6a + 4b + 5c = 2 + 13 -6a + 4b + 5c = 2 + 13 Combine like terms: 2 + 13 = 15 -6a + 4b + 5c = 15 Add '-4b' to each side of the equation. -6a + 4b + -4b + 5c = 15 + -4b Combine like terms: 4b + -4b = 0 -6a + 0 + 5c = 15 + -4b -6a + 5c = 15 + -4b Add '-5c' to each side of the equation. -6a + 5c + -5c = 15 + -4b + -5c Combine like terms: 5c + -5c = 0 -6a + 0 = 15 + -4b + -5c -6a = 15 + -4b + -5c Divide each side by '-6'. a = -2.5 + 0.6666666667b + 0.8333333333c Simplifying a = -2.5 + 0.6666666667b + 0.8333333333c
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