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Simplifying 10a + -53 = 9a + -46 Reorder the terms: -53 + 10a = 9a + -46 Reorder the terms: -53 + 10a = -46 + 9a Solving -53 + 10a = -46 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -53 + 10a + -9a = -46 + 9a + -9a Combine like terms: 10a + -9a = 1a -53 + 1a = -46 + 9a + -9a Combine like terms: 9a + -9a = 0 -53 + 1a = -46 + 0 -53 + 1a = -46 Add '53' to each side of the equation. -53 + 53 + 1a = -46 + 53 Combine like terms: -53 + 53 = 0 0 + 1a = -46 + 53 1a = -46 + 53 Combine like terms: -46 + 53 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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