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Simplifying 5a + -10 = a + 46 Reorder the terms: -10 + 5a = a + 46 Reorder the terms: -10 + 5a = 46 + a Solving -10 + 5a = 46 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -10 + 5a + -1a = 46 + a + -1a Combine like terms: 5a + -1a = 4a -10 + 4a = 46 + a + -1a Combine like terms: a + -1a = 0 -10 + 4a = 46 + 0 -10 + 4a = 46 Add '10' to each side of the equation. -10 + 10 + 4a = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 4a = 46 + 10 4a = 46 + 10 Combine like terms: 46 + 10 = 56 4a = 56 Divide each side by '4'. a = 14 Simplifying a = 14
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