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Simplifying a + 15 = 3a + -7 Reorder the terms: 15 + a = 3a + -7 Reorder the terms: 15 + a = -7 + 3a Solving 15 + a = -7 + 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. 15 + a + -3a = -7 + 3a + -3a Combine like terms: a + -3a = -2a 15 + -2a = -7 + 3a + -3a Combine like terms: 3a + -3a = 0 15 + -2a = -7 + 0 15 + -2a = -7 Add '-15' to each side of the equation. 15 + -15 + -2a = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -2a = -7 + -15 -2a = -7 + -15 Combine like terms: -7 + -15 = -22 -2a = -22 Divide each side by '-2'. a = 11 Simplifying a = 11
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