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Simplifying 30b + 20(a + 5) = 0 Reorder the terms: 30b + 20(5 + a) = 0 30b + (5 * 20 + a * 20) = 0 30b + (100 + 20a) = 0 Reorder the terms: 100 + 20a + 30b = 0 Solving 100 + 20a + 30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + 20a + -100 + 30b = 0 + -100 Reorder the terms: 100 + -100 + 20a + 30b = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 20a + 30b = 0 + -100 20a + 30b = 0 + -100 Combine like terms: 0 + -100 = -100 20a + 30b = -100 Add '-30b' to each side of the equation. 20a + 30b + -30b = -100 + -30b Combine like terms: 30b + -30b = 0 20a + 0 = -100 + -30b 20a = -100 + -30b Divide each side by '20'. a = -5 + -1.5b Simplifying a = -5 + -1.5b
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