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Simplifying 54 + -4a = 7a + 42 Reorder the terms: 54 + -4a = 42 + 7a Solving 54 + -4a = 42 + 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 + -4a + -7a = 42 + 7a + -7a Combine like terms: -4a + -7a = -11a 54 + -11a = 42 + 7a + -7a Combine like terms: 7a + -7a = 0 54 + -11a = 42 + 0 54 + -11a = 42 Add '-54' to each side of the equation. 54 + -54 + -11a = 42 + -54 Combine like terms: 54 + -54 = 0 0 + -11a = 42 + -54 -11a = 42 + -54 Combine like terms: 42 + -54 = -12 -11a = -12 Divide each side by '-11'. a = 1.090909091 Simplifying a = 1.090909091
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