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Simplifying (1.47a + -2.9) + -1(3.08a + -0.5) = 0 Reorder the terms: (-2.9 + 1.47a) + -1(3.08a + -0.5) = 0 Remove parenthesis around (-2.9 + 1.47a) -2.9 + 1.47a + -1(3.08a + -0.5) = 0 Reorder the terms: -2.9 + 1.47a + -1(-0.5 + 3.08a) = 0 -2.9 + 1.47a + (-0.5 * -1 + 3.08a * -1) = 0 -2.9 + 1.47a + (0.5 + -3.08a) = 0 Reorder the terms: -2.9 + 0.5 + 1.47a + -3.08a = 0 Combine like terms: -2.9 + 0.5 = -2.4 -2.4 + 1.47a + -3.08a = 0 Combine like terms: 1.47a + -3.08a = -1.61a -2.4 + -1.61a = 0 Solving -2.4 + -1.61a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2.4' to each side of the equation. -2.4 + 2.4 + -1.61a = 0 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -1.61a = 0 + 2.4 -1.61a = 0 + 2.4 Combine like terms: 0 + 2.4 = 2.4 -1.61a = 2.4 Divide each side by '-1.61'. a = -1.49068323 Simplifying a = -1.49068323
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