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Simplifying 0.5(a + -2) = -1(a + 6) Reorder the terms: 0.5(-2 + a) = -1(a + 6) (-2 * 0.5 + a * 0.5) = -1(a + 6) (-1 + 0.5a) = -1(a + 6) Reorder the terms: -1 + 0.5a = -1(6 + a) -1 + 0.5a = (6 * -1 + a * -1) -1 + 0.5a = (-6 + -1a) Solving -1 + 0.5a = -6 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -1 + 0.5a + a = -6 + -1a + a Combine like terms: 0.5a + a = 1.5a -1 + 1.5a = -6 + -1a + a Combine like terms: -1a + a = 0 -1 + 1.5a = -6 + 0 -1 + 1.5a = -6 Add '1' to each side of the equation. -1 + 1 + 1.5a = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 1.5a = -6 + 1 1.5a = -6 + 1 Combine like terms: -6 + 1 = -5 1.5a = -5 Divide each side by '1.5'. a = -3.333333333 Simplifying a = -3.333333333
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