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Simplifying 54 + -5a = 7a + -12 Reorder the terms: 54 + -5a = -12 + 7a Solving 54 + -5a = -12 + 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. 54 + -5a + -7a = -12 + 7a + -7a Combine like terms: -5a + -7a = -12a 54 + -12a = -12 + 7a + -7a Combine like terms: 7a + -7a = 0 54 + -12a = -12 + 0 54 + -12a = -12 Add '-54' to each side of the equation. 54 + -54 + -12a = -12 + -54 Combine like terms: 54 + -54 = 0 0 + -12a = -12 + -54 -12a = -12 + -54 Combine like terms: -12 + -54 = -66 -12a = -66 Divide each side by '-12'. a = 5.5 Simplifying a = 5.5
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