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Simplifying 7a + 10 = 8a + 4 Reorder the terms: 10 + 7a = 8a + 4 Reorder the terms: 10 + 7a = 4 + 8a Solving 10 + 7a = 4 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 10 + 7a + -8a = 4 + 8a + -8a Combine like terms: 7a + -8a = -1a 10 + -1a = 4 + 8a + -8a Combine like terms: 8a + -8a = 0 10 + -1a = 4 + 0 10 + -1a = 4 Add '-10' to each side of the equation. 10 + -10 + -1a = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = 4 + -10 -1a = 4 + -10 Combine like terms: 4 + -10 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6
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