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Simplifying 4 + -0.6a = 3(1.5a + 0.9) + 7.93 Reorder the terms: 4 + -0.6a = 3(0.9 + 1.5a) + 7.93 4 + -0.6a = (0.9 * 3 + 1.5a * 3) + 7.93 4 + -0.6a = (2.7 + 4.5a) + 7.93 Reorder the terms: 4 + -0.6a = 2.7 + 7.93 + 4.5a Combine like terms: 2.7 + 7.93 = 10.63 4 + -0.6a = 10.63 + 4.5a Solving 4 + -0.6a = 10.63 + 4.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.5a' to each side of the equation. 4 + -0.6a + -4.5a = 10.63 + 4.5a + -4.5a Combine like terms: -0.6a + -4.5a = -5.1a 4 + -5.1a = 10.63 + 4.5a + -4.5a Combine like terms: 4.5a + -4.5a = 0.0 4 + -5.1a = 10.63 + 0.0 4 + -5.1a = 10.63 Add '-4' to each side of the equation. 4 + -4 + -5.1a = 10.63 + -4 Combine like terms: 4 + -4 = 0 0 + -5.1a = 10.63 + -4 -5.1a = 10.63 + -4 Combine like terms: 10.63 + -4 = 6.63 -5.1a = 6.63 Divide each side by '-5.1'. a = -1.3 Simplifying a = -1.3
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