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Simplifying 18a + 5.4 = 27(a + -1) Reorder the terms: 5.4 + 18a = 27(a + -1) Reorder the terms: 5.4 + 18a = 27(-1 + a) 5.4 + 18a = (-1 * 27 + a * 27) 5.4 + 18a = (-27 + 27a) Solving 5.4 + 18a = -27 + 27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27a' to each side of the equation. 5.4 + 18a + -27a = -27 + 27a + -27a Combine like terms: 18a + -27a = -9a 5.4 + -9a = -27 + 27a + -27a Combine like terms: 27a + -27a = 0 5.4 + -9a = -27 + 0 5.4 + -9a = -27 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -9a = -27 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -9a = -27 + -5.4 -9a = -27 + -5.4 Combine like terms: -27 + -5.4 = -32.4 -9a = -32.4 Divide each side by '-9'. a = 3.6 Simplifying a = 3.6
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