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Simplifying -15(-2a + -3.2b + 4.5) = 0 Reorder the terms: -15(4.5 + -2a + -3.2b) = 0 (4.5 * -15 + -2a * -15 + -3.2b * -15) = 0 (-67.5 + 30a + 48b) = 0 Solving -67.5 + 30a + 48b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '67.5' to each side of the equation. -67.5 + 30a + 67.5 + 48b = 0 + 67.5 Reorder the terms: -67.5 + 67.5 + 30a + 48b = 0 + 67.5 Combine like terms: -67.5 + 67.5 = 0.0 0.0 + 30a + 48b = 0 + 67.5 30a + 48b = 0 + 67.5 Combine like terms: 0 + 67.5 = 67.5 30a + 48b = 67.5 Add '-48b' to each side of the equation. 30a + 48b + -48b = 67.5 + -48b Combine like terms: 48b + -48b = 0 30a + 0 = 67.5 + -48b 30a = 67.5 + -48b Divide each side by '30'. a = 2.25 + -1.6b Simplifying a = 2.25 + -1.6b
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