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Simplifying 15 + -4a = 2a + -12 Reorder the terms: 15 + -4a = -12 + 2a Solving 15 + -4a = -12 + 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. 15 + -4a + -2a = -12 + 2a + -2a Combine like terms: -4a + -2a = -6a 15 + -6a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 15 + -6a = -12 + 0 15 + -6a = -12 Add '-15' to each side of the equation. 15 + -15 + -6a = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -6a = -12 + -15 -6a = -12 + -15 Combine like terms: -12 + -15 = -27 -6a = -27 Divide each side by '-6'. a = 4.5 Simplifying a = 4.5
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