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Simplifying -9.1 + -9.4 = 4.9a + -3.9a + 4.6 Combine like terms: -9.1 + -9.4 = -18.5 -18.5 = 4.9a + -3.9a + 4.6 Reorder the terms: -18.5 = 4.6 + 4.9a + -3.9a Combine like terms: 4.9a + -3.9a = 1a -18.5 = 4.6 + 1a Solving -18.5 = 4.6 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -18.5 + -1a = 4.6 + 1a + -1a Combine like terms: 1a + -1a = 0 -18.5 + -1a = 4.6 + 0 -18.5 + -1a = 4.6 Add '18.5' to each side of the equation. -18.5 + 18.5 + -1a = 4.6 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + -1a = 4.6 + 18.5 -1a = 4.6 + 18.5 Combine like terms: 4.6 + 18.5 = 23.1 -1a = 23.1 Divide each side by '-1'. a = -23.1 Simplifying a = -23.1
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