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Simplifying a + 3 + -2 = -15 + 3a Reorder the terms: 3 + -2 + a = -15 + 3a Combine like terms: 3 + -2 = 1 1 + a = -15 + 3a Solving 1 + a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 1 + a + -3a = -15 + 3a + -3a Combine like terms: a + -3a = -2a 1 + -2a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + -2a = -15 + 0 1 + -2a = -15 Add '-1' to each side of the equation. 1 + -1 + -2a = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = -15 + -1 -2a = -15 + -1 Combine like terms: -15 + -1 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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