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Simplifying 0.5(2a * 3) = 0.5[4a + (-4)] Reorder the terms for easier multiplication: 0.5(2 * 3a) = 0.5[4a + (-4)] Multiply 2 * 3 0.5(6a) = 0.5[4a + (-4)] Remove parenthesis around (6a) 0.5 * 6a = 0.5[4a + (-4)] Multiply 0.5 * 6 3a = 0.5[4a + (-4)] 3a = 0.5[4a + -4] Reorder the terms: 3a = 0.5[-4 + 4a] 3a = [-4 * 0.5 + 4a * 0.5] 3a = [-2 + 2a] Solving 3a = -2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 3a + -2a = -2 + 2a + -2a Combine like terms: 3a + -2a = 1a 1a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 1a = -2 + 0 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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