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Simplifying 3a + 1 = -3.5(a + -1) Reorder the terms: 1 + 3a = -3.5(a + -1) Reorder the terms: 1 + 3a = -3.5(-1 + a) 1 + 3a = (-1 * -3.5 + a * -3.5) 1 + 3a = (3.5 + -3.5a) Solving 1 + 3a = 3.5 + -3.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3.5a' to each side of the equation. 1 + 3a + 3.5a = 3.5 + -3.5a + 3.5a Combine like terms: 3a + 3.5a = 6.5a 1 + 6.5a = 3.5 + -3.5a + 3.5a Combine like terms: -3.5a + 3.5a = 0.0 1 + 6.5a = 3.5 + 0.0 1 + 6.5a = 3.5 Add '-1' to each side of the equation. 1 + -1 + 6.5a = 3.5 + -1 Combine like terms: 1 + -1 = 0 0 + 6.5a = 3.5 + -1 6.5a = 3.5 + -1 Combine like terms: 3.5 + -1 = 2.5 6.5a = 2.5 Divide each side by '6.5'. a = 0.3846153846 Simplifying a = 0.3846153846
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