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Simplifying 5a + -13 = -2a + -6 Reorder the terms: -13 + 5a = -2a + -6 Reorder the terms: -13 + 5a = -6 + -2a Solving -13 + 5a = -6 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -13 + 5a + 2a = -6 + -2a + 2a Combine like terms: 5a + 2a = 7a -13 + 7a = -6 + -2a + 2a Combine like terms: -2a + 2a = 0 -13 + 7a = -6 + 0 -13 + 7a = -6 Add '13' to each side of the equation. -13 + 13 + 7a = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 7a = -6 + 13 7a = -6 + 13 Combine like terms: -6 + 13 = 7 7a = 7 Divide each side by '7'. a = 1 Simplifying a = 1
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