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Simplifying 8a + -5 = 35 + 6(a + -5) Reorder the terms: -5 + 8a = 35 + 6(a + -5) Reorder the terms: -5 + 8a = 35 + 6(-5 + a) -5 + 8a = 35 + (-5 * 6 + a * 6) -5 + 8a = 35 + (-30 + 6a) Combine like terms: 35 + -30 = 5 -5 + 8a = 5 + 6a Solving -5 + 8a = 5 + 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. -5 + 8a + -6a = 5 + 6a + -6a Combine like terms: 8a + -6a = 2a -5 + 2a = 5 + 6a + -6a Combine like terms: 6a + -6a = 0 -5 + 2a = 5 + 0 -5 + 2a = 5 Add '5' to each side of the equation. -5 + 5 + 2a = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = 5 + 5 2a = 5 + 5 Combine like terms: 5 + 5 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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