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Simplifying a + 2b + 4(-1a + -3b) + -2(2a + 5) = 0 a + 2b + (-1a * 4 + -3b * 4) + -2(2a + 5) = 0 a + 2b + (-4a + -12b) + -2(2a + 5) = 0 Reorder the terms: a + 2b + -4a + -12b + -2(5 + 2a) = 0 a + 2b + -4a + -12b + (5 * -2 + 2a * -2) = 0 a + 2b + -4a + -12b + (-10 + -4a) = 0 Reorder the terms: -10 + a + -4a + -4a + 2b + -12b = 0 Combine like terms: a + -4a = -3a -10 + -3a + -4a + 2b + -12b = 0 Combine like terms: -3a + -4a = -7a -10 + -7a + 2b + -12b = 0 Combine like terms: 2b + -12b = -10b -10 + -7a + -10b = 0 Solving -10 + -7a + -10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -7a + 10 + -10b = 0 + 10 Reorder the terms: -10 + 10 + -7a + -10b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7a + -10b = 0 + 10 -7a + -10b = 0 + 10 Combine like terms: 0 + 10 = 10 -7a + -10b = 10 Add '10b' to each side of the equation. -7a + -10b + 10b = 10 + 10b Combine like terms: -10b + 10b = 0 -7a + 0 = 10 + 10b -7a = 10 + 10b Divide each side by '-7'. a = -1.428571429 + -1.428571429b Simplifying a = -1.428571429 + -1.428571429b
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