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Simplifying x + -6[b + -4(c + -1a)] = 4 Reorder the terms: x + -6[b + -4(-1a + c)] = 4 x + -6[b + (-1a * -4 + c * -4)] = 4 x + -6[b + (4a + -4c)] = 4 Reorder the terms: x + -6[4a + b + -4c] = 4 x + [4a * -6 + b * -6 + -4c * -6] = 4 x + [-24a + -6b + 24c] = 4 Reorder the terms: -24a + -6b + 24c + x = 4 Solving -24a + -6b + 24c + x = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. -24a + -6b + 24c + 6b + x = 4 + 6b Reorder the terms: -24a + -6b + 6b + 24c + x = 4 + 6b Combine like terms: -6b + 6b = 0 -24a + 0 + 24c + x = 4 + 6b -24a + 24c + x = 4 + 6b Add '-24c' to each side of the equation. -24a + 24c + -24c + x = 4 + 6b + -24c Combine like terms: 24c + -24c = 0 -24a + 0 + x = 4 + 6b + -24c -24a + x = 4 + 6b + -24c Add '-1x' to each side of the equation. -24a + x + -1x = 4 + 6b + -24c + -1x Combine like terms: x + -1x = 0 -24a + 0 = 4 + 6b + -24c + -1x -24a = 4 + 6b + -24c + -1x Divide each side by '-24'. a = -0.1666666667 + -0.25b + c + 0.04166666667x Simplifying a = -0.1666666667 + -0.25b + c + 0.04166666667x
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