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Simplifying 0.5(a + 3) + -4 = -2 Reorder the terms: 0.5(3 + a) + -4 = -2 (3 * 0.5 + a * 0.5) + -4 = -2 (1.5 + 0.5a) + -4 = -2 Reorder the terms: 1.5 + -4 + 0.5a = -2 Combine like terms: 1.5 + -4 = -2.5 -2.5 + 0.5a = -2 Solving -2.5 + 0.5a = -2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.5a = -2 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.5a = -2 + 2.5 0.5a = -2 + 2.5 Combine like terms: -2 + 2.5 = 0.5 0.5a = 0.5 Divide each side by '0.5'. a = 1 Simplifying a = 1
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