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Simplifying 2.6a + 4.5b + -8.2a + -1(-4.5b) = 0 Remove parenthesis around (-4.5b) 2.6a + 4.5b + -8.2a + -1 * -4.5b = 0 Multiply -1 * -4.5 2.6a + 4.5b + -8.2a + 4.5b = 0 Reorder the terms: 2.6a + -8.2a + 4.5b + 4.5b = 0 Combine like terms: 2.6a + -8.2a = -5.6a -5.6a + 4.5b + 4.5b = 0 Combine like terms: 4.5b + 4.5b = 9b -5.6a + 9b = 0 Solving -5.6a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. -5.6a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 -5.6a + 0 = 0 + -9b -5.6a = 0 + -9b Remove the zero: -5.6a = -9b Divide each side by '-5.6'. a = 1.607142857b Simplifying a = 1.607142857b
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