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Simplifying 54 + -12a = 14 + -8a Solving 54 + -12a = 14 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 54 + -12a + 8a = 14 + -8a + 8a Combine like terms: -12a + 8a = -4a 54 + -4a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 54 + -4a = 14 + 0 54 + -4a = 14 Add '-54' to each side of the equation. 54 + -54 + -4a = 14 + -54 Combine like terms: 54 + -54 = 0 0 + -4a = 14 + -54 -4a = 14 + -54 Combine like terms: 14 + -54 = -40 -4a = -40 Divide each side by '-4'. a = 10 Simplifying a = 10
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