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Simplifying -1a + 4[-2 + -5(a + -1b)] = 0 -1a + 4[-2 + (a * -5 + -1b * -5)] = 0 -1a + 4[-2 + (-5a + 5b)] = 0 -1a + [-2 * 4 + -5a * 4 + 5b * 4] = 0 -1a + [-8 + -20a + 20b] = 0 Reorder the terms: -8 + -1a + -20a + 20b = 0 Combine like terms: -1a + -20a = -21a -8 + -21a + 20b = 0 Solving -8 + -21a + 20b = 0 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 + -21a + 8 + 20b = 0 + 8 Reorder the terms: -8 + 8 + -21a + 20b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -21a + 20b = 0 + 8 -21a + 20b = 0 + 8 Combine like terms: 0 + 8 = 8 -21a + 20b = 8 Add '-20b' to each side of the equation. -21a + 20b + -20b = 8 + -20b Combine like terms: 20b + -20b = 0 -21a + 0 = 8 + -20b -21a = 8 + -20b Divide each side by '-21'. a = -0.380952381 + 0.9523809524b Simplifying a = -0.380952381 + 0.9523809524b
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