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Simplifying 2.4(a + 0.5) = -0.8(a + 1.5) Reorder the terms: 2.4(0.5 + a) = -0.8(a + 1.5) (0.5 * 2.4 + a * 2.4) = -0.8(a + 1.5) (1.2 + 2.4a) = -0.8(a + 1.5) Reorder the terms: 1.2 + 2.4a = -0.8(1.5 + a) 1.2 + 2.4a = (1.5 * -0.8 + a * -0.8) 1.2 + 2.4a = (-1.2 + -0.8a) Solving 1.2 + 2.4a = -1.2 + -0.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.8a' to each side of the equation. 1.2 + 2.4a + 0.8a = -1.2 + -0.8a + 0.8a Combine like terms: 2.4a + 0.8a = 3.2a 1.2 + 3.2a = -1.2 + -0.8a + 0.8a Combine like terms: -0.8a + 0.8a = 0.0 1.2 + 3.2a = -1.2 + 0.0 1.2 + 3.2a = -1.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 3.2a = -1.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 3.2a = -1.2 + -1.2 3.2a = -1.2 + -1.2 Combine like terms: -1.2 + -1.2 = -2.4 3.2a = -2.4 Divide each side by '3.2'. a = -0.75 Simplifying a = -0.75
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