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Simplifying -460 = -16a + 52 Reorder the terms: -460 = 52 + -16a Solving -460 = 52 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -460 + 16a = 52 + -16a + 16a Combine like terms: -16a + 16a = 0 -460 + 16a = 52 + 0 -460 + 16a = 52 Add '460' to each side of the equation. -460 + 460 + 16a = 52 + 460 Combine like terms: -460 + 460 = 0 0 + 16a = 52 + 460 16a = 52 + 460 Combine like terms: 52 + 460 = 512 16a = 512 Divide each side by '16'. a = 32 Simplifying a = 32
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