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Simplifying -14.9 + 4a + -2.7 + 2a = 5.1 + 7a + 1.5 Reorder the terms: -14.9 + -2.7 + 4a + 2a = 5.1 + 7a + 1.5 Combine like terms: -14.9 + -2.7 = -17.6 -17.6 + 4a + 2a = 5.1 + 7a + 1.5 Combine like terms: 4a + 2a = 6a -17.6 + 6a = 5.1 + 7a + 1.5 Reorder the terms: -17.6 + 6a = 5.1 + 1.5 + 7a Combine like terms: 5.1 + 1.5 = 6.6 -17.6 + 6a = 6.6 + 7a Solving -17.6 + 6a = 6.6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -17.6 + 6a + -7a = 6.6 + 7a + -7a Combine like terms: 6a + -7a = -1a -17.6 + -1a = 6.6 + 7a + -7a Combine like terms: 7a + -7a = 0 -17.6 + -1a = 6.6 + 0 -17.6 + -1a = 6.6 Add '17.6' to each side of the equation. -17.6 + 17.6 + -1a = 6.6 + 17.6 Combine like terms: -17.6 + 17.6 = 0.0 0.0 + -1a = 6.6 + 17.6 -1a = 6.6 + 17.6 Combine like terms: 6.6 + 17.6 = 24.2 -1a = 24.2 Divide each side by '-1'. a = -24.2 Simplifying a = -24.2
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