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Simplifying 5(a + -3b) + -4(a + -5) = 0 (a * 5 + -3b * 5) + -4(a + -5) = 0 (5a + -15b) + -4(a + -5) = 0 Reorder the terms: 5a + -15b + -4(-5 + a) = 0 5a + -15b + (-5 * -4 + a * -4) = 0 5a + -15b + (20 + -4a) = 0 Reorder the terms: 20 + 5a + -4a + -15b = 0 Combine like terms: 5a + -4a = 1a 20 + 1a + -15b = 0 Solving 20 + 1a + -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 + 1a + -20 + -15b = 0 + -20 Reorder the terms: 20 + -20 + 1a + -15b = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1a + -15b = 0 + -20 1a + -15b = 0 + -20 Combine like terms: 0 + -20 = -20 1a + -15b = -20 Add '15b' to each side of the equation. 1a + -15b + 15b = -20 + 15b Combine like terms: -15b + 15b = 0 1a + 0 = -20 + 15b 1a = -20 + 15b Divide each side by '1'. a = -20 + 15b Simplifying a = -20 + 15b
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