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Simplifying 1.8a + -4.6 + -4.8 = 4.0a + -5.3 Reorder the terms: -4.6 + -4.8 + 1.8a = 4.0a + -5.3 Combine like terms: -4.6 + -4.8 = -9.4 -9.4 + 1.8a = 4.0a + -5.3 Reorder the terms: -9.4 + 1.8a = -5.3 + 4.0a Solving -9.4 + 1.8a = -5.3 + 4.0a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.0a' to each side of the equation. -9.4 + 1.8a + -4.0a = -5.3 + 4.0a + -4.0a Combine like terms: 1.8a + -4.0a = -2.2a -9.4 + -2.2a = -5.3 + 4.0a + -4.0a Combine like terms: 4.0a + -4.0a = 0.0 -9.4 + -2.2a = -5.3 + 0.0 -9.4 + -2.2a = -5.3 Add '9.4' to each side of the equation. -9.4 + 9.4 + -2.2a = -5.3 + 9.4 Combine like terms: -9.4 + 9.4 = 0.0 0.0 + -2.2a = -5.3 + 9.4 -2.2a = -5.3 + 9.4 Combine like terms: -5.3 + 9.4 = 4.1 -2.2a = 4.1 Divide each side by '-2.2'. a = -1.863636364 Simplifying a = -1.863636364
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