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Simplifying 4(a + -5b) + -1[3 + -2(a + -1b)] = 0 (a * 4 + -5b * 4) + -1[3 + -2(a + -1b)] = 0 (4a + -20b) + -1[3 + -2(a + -1b)] = 0 4a + -20b + -1[3 + (a * -2 + -1b * -2)] = 0 4a + -20b + -1[3 + (-2a + 2b)] = 0 4a + -20b + [3 * -1 + -2a * -1 + 2b * -1] = 0 4a + -20b + [-3 + 2a + -2b] = 0 Reorder the terms: -3 + 4a + 2a + -20b + -2b = 0 Combine like terms: 4a + 2a = 6a -3 + 6a + -20b + -2b = 0 Combine like terms: -20b + -2b = -22b -3 + 6a + -22b = 0 Solving -3 + 6a + -22b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6a + 3 + -22b = 0 + 3 Reorder the terms: -3 + 3 + 6a + -22b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6a + -22b = 0 + 3 6a + -22b = 0 + 3 Combine like terms: 0 + 3 = 3 6a + -22b = 3 Add '22b' to each side of the equation. 6a + -22b + 22b = 3 + 22b Combine like terms: -22b + 22b = 0 6a + 0 = 3 + 22b 6a = 3 + 22b Divide each side by '6'. a = 0.5 + 3.666666667b Simplifying a = 0.5 + 3.666666667b
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