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Simplifying 4(a + 0.6) = 2.4(a + -1) Reorder the terms: 4(0.6 + a) = 2.4(a + -1) (0.6 * 4 + a * 4) = 2.4(a + -1) (2.4 + 4a) = 2.4(a + -1) Reorder the terms: 2.4 + 4a = 2.4(-1 + a) 2.4 + 4a = (-1 * 2.4 + a * 2.4) 2.4 + 4a = (-2.4 + 2.4a) Solving 2.4 + 4a = -2.4 + 2.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.4a' to each side of the equation. 2.4 + 4a + -2.4a = -2.4 + 2.4a + -2.4a Combine like terms: 4a + -2.4a = 1.6a 2.4 + 1.6a = -2.4 + 2.4a + -2.4a Combine like terms: 2.4a + -2.4a = 0.0 2.4 + 1.6a = -2.4 + 0.0 2.4 + 1.6a = -2.4 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 1.6a = -2.4 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 1.6a = -2.4 + -2.4 1.6a = -2.4 + -2.4 Combine like terms: -2.4 + -2.4 = -4.8 1.6a = -4.8 Divide each side by '1.6'. a = -3 Simplifying a = -3
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