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Simplifying 4a + 53 = 8a + 13 Reorder the terms: 53 + 4a = 8a + 13 Reorder the terms: 53 + 4a = 13 + 8a Solving 53 + 4a = 13 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 53 + 4a + -8a = 13 + 8a + -8a Combine like terms: 4a + -8a = -4a 53 + -4a = 13 + 8a + -8a Combine like terms: 8a + -8a = 0 53 + -4a = 13 + 0 53 + -4a = 13 Add '-53' to each side of the equation. 53 + -53 + -4a = 13 + -53 Combine like terms: 53 + -53 = 0 0 + -4a = 13 + -53 -4a = 13 + -53 Combine like terms: 13 + -53 = -40 -4a = -40 Divide each side by '-4'. a = 10 Simplifying a = 10
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