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Simplifying -5(a + 3b + -8) = 0 Reorder the terms: -5(-8 + a + 3b) = 0 (-8 * -5 + a * -5 + 3b * -5) = 0 (40 + -5a + -15b) = 0 Solving 40 + -5a + -15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -5a + -40 + -15b = 0 + -40 Reorder the terms: 40 + -40 + -5a + -15b = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -5a + -15b = 0 + -40 -5a + -15b = 0 + -40 Combine like terms: 0 + -40 = -40 -5a + -15b = -40 Add '15b' to each side of the equation. -5a + -15b + 15b = -40 + 15b Combine like terms: -15b + 15b = 0 -5a + 0 = -40 + 15b -5a = -40 + 15b Divide each side by '-5'. a = 8 + -3b Simplifying a = 8 + -3b
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