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Simplifying 0.40 + -4.5 + 2a = 7 + 17a + 4 Combine like terms: 0.40 + -4.5 = -4.1 -4.1 + 2a = 7 + 17a + 4 Reorder the terms: -4.1 + 2a = 7 + 4 + 17a Combine like terms: 7 + 4 = 11 -4.1 + 2a = 11 + 17a Solving -4.1 + 2a = 11 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -4.1 + 2a + -17a = 11 + 17a + -17a Combine like terms: 2a + -17a = -15a -4.1 + -15a = 11 + 17a + -17a Combine like terms: 17a + -17a = 0 -4.1 + -15a = 11 + 0 -4.1 + -15a = 11 Add '4.1' to each side of the equation. -4.1 + 4.1 + -15a = 11 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -15a = 11 + 4.1 -15a = 11 + 4.1 Combine like terms: 11 + 4.1 = 15.1 -15a = 15.1 Divide each side by '-15'. a = -1.006666667 Simplifying a = -1.006666667
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