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Simplifying 5a + -8a + 2a + 13 = -45 Reorder the terms: 13 + 5a + -8a + 2a = -45 Combine like terms: 5a + -8a = -3a 13 + -3a + 2a = -45 Combine like terms: -3a + 2a = -1a 13 + -1a = -45 Solving 13 + -1a = -45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1a = -45 + -13 Combine like terms: 13 + -13 = 0 0 + -1a = -45 + -13 -1a = -45 + -13 Combine like terms: -45 + -13 = -58 -1a = -58 Divide each side by '-1'. a = 58 Simplifying a = 58
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