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Simplifying 10a + 53 = 2a + 21 Reorder the terms: 53 + 10a = 2a + 21 Reorder the terms: 53 + 10a = 21 + 2a Solving 53 + 10a = 21 + 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. 53 + 10a + -2a = 21 + 2a + -2a Combine like terms: 10a + -2a = 8a 53 + 8a = 21 + 2a + -2a Combine like terms: 2a + -2a = 0 53 + 8a = 21 + 0 53 + 8a = 21 Add '-53' to each side of the equation. 53 + -53 + 8a = 21 + -53 Combine like terms: 53 + -53 = 0 0 + 8a = 21 + -53 8a = 21 + -53 Combine like terms: 21 + -53 = -32 8a = -32 Divide each side by '8'. a = -4 Simplifying a = -4
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