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Simplifying 3 + 5[2 + -4(a + -1b)] = 0 3 + 5[2 + (a * -4 + -1b * -4)] = 0 3 + 5[2 + (-4a + 4b)] = 0 3 + [2 * 5 + -4a * 5 + 4b * 5] = 0 3 + [10 + -20a + 20b] = 0 Combine like terms: 3 + 10 = 13 13 + -20a + 20b = 0 Solving 13 + -20a + 20b = 0 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 + -20a + -13 + 20b = 0 + -13 Reorder the terms: 13 + -13 + -20a + 20b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -20a + 20b = 0 + -13 -20a + 20b = 0 + -13 Combine like terms: 0 + -13 = -13 -20a + 20b = -13 Add '-20b' to each side of the equation. -20a + 20b + -20b = -13 + -20b Combine like terms: 20b + -20b = 0 -20a + 0 = -13 + -20b -20a = -13 + -20b Divide each side by '-20'. a = 0.65 + b Simplifying a = 0.65 + b
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