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Simplifying a + 13 = -2a + -7 Reorder the terms: 13 + a = -2a + -7 Reorder the terms: 13 + a = -7 + -2a Solving 13 + a = -7 + -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 + a + 2a = -7 + -2a + 2a Combine like terms: a + 2a = 3a 13 + 3a = -7 + -2a + 2a Combine like terms: -2a + 2a = 0 13 + 3a = -7 + 0 13 + 3a = -7 Add '-13' to each side of the equation. 13 + -13 + 3a = -7 + -13 Combine like terms: 13 + -13 = 0 0 + 3a = -7 + -13 3a = -7 + -13 Combine like terms: -7 + -13 = -20 3a = -20 Divide each side by '3'. a = -6.666666667 Simplifying a = -6.666666667
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