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Simplifying -15(-7a + -8b + 2) = 0 Reorder the terms: -15(2 + -7a + -8b) = 0 (2 * -15 + -7a * -15 + -8b * -15) = 0 (-30 + 105a + 120b) = 0 Solving -30 + 105a + 120b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 105a + 30 + 120b = 0 + 30 Reorder the terms: -30 + 30 + 105a + 120b = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 105a + 120b = 0 + 30 105a + 120b = 0 + 30 Combine like terms: 0 + 30 = 30 105a + 120b = 30 Add '-120b' to each side of the equation. 105a + 120b + -120b = 30 + -120b Combine like terms: 120b + -120b = 0 105a + 0 = 30 + -120b 105a = 30 + -120b Divide each side by '105'. a = 0.2857142857 + -1.142857143b Simplifying a = 0.2857142857 + -1.142857143b
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