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Simplifying a + -4.5 + 2a = 14 + 34a + 8 Reorder the terms: -4.5 + a + 2a = 14 + 34a + 8 Combine like terms: a + 2a = 3a -4.5 + 3a = 14 + 34a + 8 Reorder the terms: -4.5 + 3a = 14 + 8 + 34a Combine like terms: 14 + 8 = 22 -4.5 + 3a = 22 + 34a Solving -4.5 + 3a = 22 + 34a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34a' to each side of the equation. -4.5 + 3a + -34a = 22 + 34a + -34a Combine like terms: 3a + -34a = -31a -4.5 + -31a = 22 + 34a + -34a Combine like terms: 34a + -34a = 0 -4.5 + -31a = 22 + 0 -4.5 + -31a = 22 Add '4.5' to each side of the equation. -4.5 + 4.5 + -31a = 22 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -31a = 22 + 4.5 -31a = 22 + 4.5 Combine like terms: 22 + 4.5 = 26.5 -31a = 26.5 Divide each side by '-31'. a = -0.8548387097 Simplifying a = -0.8548387097
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