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Simplifying 5(2a + 3b + -4) = 0 Reorder the terms: 5(-4 + 2a + 3b) = 0 (-4 * 5 + 2a * 5 + 3b * 5) = 0 (-20 + 10a + 15b) = 0 Solving -20 + 10a + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 10a + 20 + 15b = 0 + 20 Reorder the terms: -20 + 20 + 10a + 15b = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 10a + 15b = 0 + 20 10a + 15b = 0 + 20 Combine like terms: 0 + 20 = 20 10a + 15b = 20 Add '-15b' to each side of the equation. 10a + 15b + -15b = 20 + -15b Combine like terms: 15b + -15b = 0 10a + 0 = 20 + -15b 10a = 20 + -15b Divide each side by '10'. a = 2 + -1.5b Simplifying a = 2 + -1.5b
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