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Simplifying -2a + 10 = 6a + 15 Reorder the terms: 10 + -2a = 6a + 15 Reorder the terms: 10 + -2a = 15 + 6a Solving 10 + -2a = 15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 10 + -2a + -6a = 15 + 6a + -6a Combine like terms: -2a + -6a = -8a 10 + -8a = 15 + 6a + -6a Combine like terms: 6a + -6a = 0 10 + -8a = 15 + 0 10 + -8a = 15 Add '-10' to each side of the equation. 10 + -10 + -8a = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -8a = 15 + -10 -8a = 15 + -10 Combine like terms: 15 + -10 = 5 -8a = 5 Divide each side by '-8'. a = -0.625 Simplifying a = -0.625
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