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Simplifying 4(a + 1) = -1a + 54 Reorder the terms: 4(1 + a) = -1a + 54 (1 * 4 + a * 4) = -1a + 54 (4 + 4a) = -1a + 54 Reorder the terms: 4 + 4a = 54 + -1a Solving 4 + 4a = 54 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 4 + 4a + a = 54 + -1a + a Combine like terms: 4a + a = 5a 4 + 5a = 54 + -1a + a Combine like terms: -1a + a = 0 4 + 5a = 54 + 0 4 + 5a = 54 Add '-4' to each side of the equation. 4 + -4 + 5a = 54 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 54 + -4 5a = 54 + -4 Combine like terms: 54 + -4 = 50 5a = 50 Divide each side by '5'. a = 10 Simplifying a = 10
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