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Simplifying 2(2a + 0.5) = 3(a + -0.6666667) Reorder the terms: 2(0.5 + 2a) = 3(a + -0.6666667) (0.5 * 2 + 2a * 2) = 3(a + -0.6666667) (1 + 4a) = 3(a + -0.6666667) Reorder the terms: 1 + 4a = 3(-0.6666667 + a) 1 + 4a = (-0.6666667 * 3 + a * 3) 1 + 4a = (-2.0000001 + 3a) Solving 1 + 4a = -2.0000001 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 1 + 4a + -3a = -2.0000001 + 3a + -3a Combine like terms: 4a + -3a = 1a 1 + 1a = -2.0000001 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + 1a = -2.0000001 + 0 1 + 1a = -2.0000001 Add '-1' to each side of the equation. 1 + -1 + 1a = -2.0000001 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = -2.0000001 + -1 1a = -2.0000001 + -1 Combine like terms: -2.0000001 + -1 = -3.0000001 1a = -3.0000001 Divide each side by '1'. a = -3.0000001 Simplifying a = -3.0000001
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