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Simplifying 3a + 1 = 6(a + -1) Reorder the terms: 1 + 3a = 6(a + -1) Reorder the terms: 1 + 3a = 6(-1 + a) 1 + 3a = (-1 * 6 + a * 6) 1 + 3a = (-6 + 6a) Solving 1 + 3a = -6 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 1 + 3a + -6a = -6 + 6a + -6a Combine like terms: 3a + -6a = -3a 1 + -3a = -6 + 6a + -6a Combine like terms: 6a + -6a = 0 1 + -3a = -6 + 0 1 + -3a = -6 Add '-1' to each side of the equation. 1 + -1 + -3a = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = -6 + -1 -3a = -6 + -1 Combine like terms: -6 + -1 = -7 -3a = -7 Divide each side by '-3'. a = 2.333333333 Simplifying a = 2.333333333
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