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Simplifying -1.2(a + -1) = -1.8(a + 0.5) Reorder the terms: -1.2(-1 + a) = -1.8(a + 0.5) (-1 * -1.2 + a * -1.2) = -1.8(a + 0.5) (1.2 + -1.2a) = -1.8(a + 0.5) Reorder the terms: 1.2 + -1.2a = -1.8(0.5 + a) 1.2 + -1.2a = (0.5 * -1.8 + a * -1.8) 1.2 + -1.2a = (-0.9 + -1.8a) Solving 1.2 + -1.2a = -0.9 + -1.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.8a' to each side of the equation. 1.2 + -1.2a + 1.8a = -0.9 + -1.8a + 1.8a Combine like terms: -1.2a + 1.8a = 0.6a 1.2 + 0.6a = -0.9 + -1.8a + 1.8a Combine like terms: -1.8a + 1.8a = 0.0 1.2 + 0.6a = -0.9 + 0.0 1.2 + 0.6a = -0.9 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.6a = -0.9 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.6a = -0.9 + -1.2 0.6a = -0.9 + -1.2 Combine like terms: -0.9 + -1.2 = -2.1 0.6a = -2.1 Divide each side by '0.6'. a = -3.5 Simplifying a = -3.5
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