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Simplifying 0.333(a + -2) = 0.5(a + 20) Reorder the terms: 0.333(-2 + a) = 0.5(a + 20) (-2 * 0.333 + a * 0.333) = 0.5(a + 20) (-0.666 + 0.333a) = 0.5(a + 20) Reorder the terms: -0.666 + 0.333a = 0.5(20 + a) -0.666 + 0.333a = (20 * 0.5 + a * 0.5) -0.666 + 0.333a = (10 + 0.5a) Solving -0.666 + 0.333a = 10 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. -0.666 + 0.333a + -0.5a = 10 + 0.5a + -0.5a Combine like terms: 0.333a + -0.5a = -0.167a -0.666 + -0.167a = 10 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 -0.666 + -0.167a = 10 + 0.0 -0.666 + -0.167a = 10 Add '0.666' to each side of the equation. -0.666 + 0.666 + -0.167a = 10 + 0.666 Combine like terms: -0.666 + 0.666 = 0.000 0.000 + -0.167a = 10 + 0.666 -0.167a = 10 + 0.666 Combine like terms: 10 + 0.666 = 10.666 -0.167a = 10.666 Divide each side by '-0.167'. a = -63.86826347 Simplifying a = -63.86826347
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