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Simplifying 13 = 3a + 5 + -2a + -7 Reorder the terms: 13 = 5 + -7 + 3a + -2a Combine like terms: 5 + -7 = -2 13 = -2 + 3a + -2a Combine like terms: 3a + -2a = 1a 13 = -2 + 1a Solving 13 = -2 + 1a 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. 13 + -1a = -2 + 1a + -1a Combine like terms: 1a + -1a = 0 13 + -1a = -2 + 0 13 + -1a = -2 Add '-13' to each side of the equation. 13 + -13 + -1a = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -1a = -2 + -13 -1a = -2 + -13 Combine like terms: -2 + -13 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15
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