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Simplifying a + -4.5 + 2a = 7 + 17a + 4 Reorder the terms: -4.5 + a + 2a = 7 + 17a + 4 Combine like terms: a + 2a = 3a -4.5 + 3a = 7 + 17a + 4 Reorder the terms: -4.5 + 3a = 7 + 4 + 17a Combine like terms: 7 + 4 = 11 -4.5 + 3a = 11 + 17a Solving -4.5 + 3a = 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. -4.5 + 3a + -17a = 11 + 17a + -17a Combine like terms: 3a + -17a = -14a -4.5 + -14a = 11 + 17a + -17a Combine like terms: 17a + -17a = 0 -4.5 + -14a = 11 + 0 -4.5 + -14a = 11 Add '4.5' to each side of the equation. -4.5 + 4.5 + -14a = 11 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -14a = 11 + 4.5 -14a = 11 + 4.5 Combine like terms: 11 + 4.5 = 15.5 -14a = 15.5 Divide each side by '-14'. a = -1.107142857 Simplifying a = -1.107142857
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