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Simplifying 8a + 5a + -10 = 8 + 2a + 4 Reorder the terms: -10 + 8a + 5a = 8 + 2a + 4 Combine like terms: 8a + 5a = 13a -10 + 13a = 8 + 2a + 4 Reorder the terms: -10 + 13a = 8 + 4 + 2a Combine like terms: 8 + 4 = 12 -10 + 13a = 12 + 2a Solving -10 + 13a = 12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -10 + 13a + -2a = 12 + 2a + -2a Combine like terms: 13a + -2a = 11a -10 + 11a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + 11a = 12 + 0 -10 + 11a = 12 Add '10' to each side of the equation. -10 + 10 + 11a = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11a = 12 + 10 11a = 12 + 10 Combine like terms: 12 + 10 = 22 11a = 22 Divide each side by '11'. a = 2 Simplifying a = 2
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