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Simplifying 3a + -8 = 5a + 10 Reorder the terms: -8 + 3a = 5a + 10 Reorder the terms: -8 + 3a = 10 + 5a Solving -8 + 3a = 10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -8 + 3a + -5a = 10 + 5a + -5a Combine like terms: 3a + -5a = -2a -8 + -2a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 -8 + -2a = 10 + 0 -8 + -2a = 10 Add '8' to each side of the equation. -8 + 8 + -2a = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2a = 10 + 8 -2a = 10 + 8 Combine like terms: 10 + 8 = 18 -2a = 18 Divide each side by '-2'. a = -9 Simplifying a = -9
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