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Simplifying -3a + 15 = 45 + 7a Reorder the terms: 15 + -3a = 45 + 7a Solving 15 + -3a = 45 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 15 + -3a + -7a = 45 + 7a + -7a Combine like terms: -3a + -7a = -10a 15 + -10a = 45 + 7a + -7a Combine like terms: 7a + -7a = 0 15 + -10a = 45 + 0 15 + -10a = 45 Add '-15' to each side of the equation. 15 + -15 + -10a = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -10a = 45 + -15 -10a = 45 + -15 Combine like terms: 45 + -15 = 30 -10a = 30 Divide each side by '-10'. a = -3 Simplifying a = -3
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