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Simplifying -1.6(a + 1.5) = 0.9(a + -0.5) Reorder the terms: -1.6(1.5 + a) = 0.9(a + -0.5) (1.5 * -1.6 + a * -1.6) = 0.9(a + -0.5) (-2.4 + -1.6a) = 0.9(a + -0.5) Reorder the terms: -2.4 + -1.6a = 0.9(-0.5 + a) -2.4 + -1.6a = (-0.5 * 0.9 + a * 0.9) -2.4 + -1.6a = (-0.45 + 0.9a) Solving -2.4 + -1.6a = -0.45 + 0.9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.9a' to each side of the equation. -2.4 + -1.6a + -0.9a = -0.45 + 0.9a + -0.9a Combine like terms: -1.6a + -0.9a = -2.5a -2.4 + -2.5a = -0.45 + 0.9a + -0.9a Combine like terms: 0.9a + -0.9a = 0.0 -2.4 + -2.5a = -0.45 + 0.0 -2.4 + -2.5a = -0.45 Add '2.4' to each side of the equation. -2.4 + 2.4 + -2.5a = -0.45 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -2.5a = -0.45 + 2.4 -2.5a = -0.45 + 2.4 Combine like terms: -0.45 + 2.4 = 1.95 -2.5a = 1.95 Divide each side by '-2.5'. a = -0.78 Simplifying a = -0.78
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