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Simplifying 3a + 10 = 5a + -6 Reorder the terms: 10 + 3a = 5a + -6 Reorder the terms: 10 + 3a = -6 + 5a Solving 10 + 3a = -6 + 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. 10 + 3a + -5a = -6 + 5a + -5a Combine like terms: 3a + -5a = -2a 10 + -2a = -6 + 5a + -5a Combine like terms: 5a + -5a = 0 10 + -2a = -6 + 0 10 + -2a = -6 Add '-10' to each side of the equation. 10 + -10 + -2a = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = -6 + -10 -2a = -6 + -10 Combine like terms: -6 + -10 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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