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Simplifying 5(a + -4) + -2(b + 3) = 0 Reorder the terms: 5(-4 + a) + -2(b + 3) = 0 (-4 * 5 + a * 5) + -2(b + 3) = 0 (-20 + 5a) + -2(b + 3) = 0 Reorder the terms: -20 + 5a + -2(3 + b) = 0 -20 + 5a + (3 * -2 + b * -2) = 0 -20 + 5a + (-6 + -2b) = 0 Reorder the terms: -20 + -6 + 5a + -2b = 0 Combine like terms: -20 + -6 = -26 -26 + 5a + -2b = 0 Solving -26 + 5a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 5a + 26 + -2b = 0 + 26 Reorder the terms: -26 + 26 + 5a + -2b = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 5a + -2b = 0 + 26 5a + -2b = 0 + 26 Combine like terms: 0 + 26 = 26 5a + -2b = 26 Add '2b' to each side of the equation. 5a + -2b + 2b = 26 + 2b Combine like terms: -2b + 2b = 0 5a + 0 = 26 + 2b 5a = 26 + 2b Divide each side by '5'. a = 5.2 + 0.4b Simplifying a = 5.2 + 0.4b
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