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Simplifying 5(2a + -3b + 1) = 0 Reorder the terms: 5(1 + 2a + -3b) = 0 (1 * 5 + 2a * 5 + -3b * 5) = 0 (5 + 10a + -15b) = 0 Solving 5 + 10a + -15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10a + -5 + -15b = 0 + -5 Reorder the terms: 5 + -5 + 10a + -15b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10a + -15b = 0 + -5 10a + -15b = 0 + -5 Combine like terms: 0 + -5 = -5 10a + -15b = -5 Add '15b' to each side of the equation. 10a + -15b + 15b = -5 + 15b Combine like terms: -15b + 15b = 0 10a + 0 = -5 + 15b 10a = -5 + 15b Divide each side by '10'. a = -0.5 + 1.5b Simplifying a = -0.5 + 1.5b
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