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Simplifying 10 + a + 2 + 13 = 1 + 7a Reorder the terms: 10 + 2 + 13 + a = 1 + 7a Combine like terms: 10 + 2 = 12 12 + 13 + a = 1 + 7a Combine like terms: 12 + 13 = 25 25 + a = 1 + 7a Solving 25 + a = 1 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 25 + a + -7a = 1 + 7a + -7a Combine like terms: a + -7a = -6a 25 + -6a = 1 + 7a + -7a Combine like terms: 7a + -7a = 0 25 + -6a = 1 + 0 25 + -6a = 1 Add '-25' to each side of the equation. 25 + -25 + -6a = 1 + -25 Combine like terms: 25 + -25 = 0 0 + -6a = 1 + -25 -6a = 1 + -25 Combine like terms: 1 + -25 = -24 -6a = -24 Divide each side by '-6'. a = 4 Simplifying a = 4
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