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Simplifying -7 + 0.6a + 2 = 15 + -1.4a Reorder the terms: -7 + 2 + 0.6a = 15 + -1.4a Combine like terms: -7 + 2 = -5 -5 + 0.6a = 15 + -1.4a Solving -5 + 0.6a = 15 + -1.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.4a' to each side of the equation. -5 + 0.6a + 1.4a = 15 + -1.4a + 1.4a Combine like terms: 0.6a + 1.4a = 2a -5 + 2a = 15 + -1.4a + 1.4a Combine like terms: -1.4a + 1.4a = 0.0 -5 + 2a = 15 + 0.0 -5 + 2a = 15 Add '5' to each side of the equation. -5 + 5 + 2a = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = 15 + 5 2a = 15 + 5 Combine like terms: 15 + 5 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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