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Simplifying 3a + 1 = -3.6(a + -5) Reorder the terms: 1 + 3a = -3.6(a + -5) Reorder the terms: 1 + 3a = -3.6(-5 + a) 1 + 3a = (-5 * -3.6 + a * -3.6) 1 + 3a = (18 + -3.6a) Solving 1 + 3a = 18 + -3.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3.6a' to each side of the equation. 1 + 3a + 3.6a = 18 + -3.6a + 3.6a Combine like terms: 3a + 3.6a = 6.6a 1 + 6.6a = 18 + -3.6a + 3.6a Combine like terms: -3.6a + 3.6a = 0.0 1 + 6.6a = 18 + 0.0 1 + 6.6a = 18 Add '-1' to each side of the equation. 1 + -1 + 6.6a = 18 + -1 Combine like terms: 1 + -1 = 0 0 + 6.6a = 18 + -1 6.6a = 18 + -1 Combine like terms: 18 + -1 = 17 6.6a = 17 Divide each side by '6.6'. a = 2.575757576 Simplifying a = 2.575757576
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