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Simplifying 2a + 7 + 4a = 10a + -13 Reorder the terms: 7 + 2a + 4a = 10a + -13 Combine like terms: 2a + 4a = 6a 7 + 6a = 10a + -13 Reorder the terms: 7 + 6a = -13 + 10a Solving 7 + 6a = -13 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 7 + 6a + -10a = -13 + 10a + -10a Combine like terms: 6a + -10a = -4a 7 + -4a = -13 + 10a + -10a Combine like terms: 10a + -10a = 0 7 + -4a = -13 + 0 7 + -4a = -13 Add '-7' to each side of the equation. 7 + -7 + -4a = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = -13 + -7 -4a = -13 + -7 Combine like terms: -13 + -7 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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