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Simplifying 460 = 6a + -10(-8a + -3) Reorder the terms: 460 = 6a + -10(-3 + -8a) 460 = 6a + (-3 * -10 + -8a * -10) 460 = 6a + (30 + 80a) Reorder the terms: 460 = 30 + 6a + 80a Combine like terms: 6a + 80a = 86a 460 = 30 + 86a Solving 460 = 30 + 86a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-86a' to each side of the equation. 460 + -86a = 30 + 86a + -86a Combine like terms: 86a + -86a = 0 460 + -86a = 30 + 0 460 + -86a = 30 Add '-460' to each side of the equation. 460 + -460 + -86a = 30 + -460 Combine like terms: 460 + -460 = 0 0 + -86a = 30 + -460 -86a = 30 + -460 Combine like terms: 30 + -460 = -430 -86a = -430 Divide each side by '-86'. a = 5 Simplifying a = 5
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