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Simplifying 6a + 16 = 2(-1 + 6a) Reorder the terms: 16 + 6a = 2(-1 + 6a) 16 + 6a = (-1 * 2 + 6a * 2) 16 + 6a = (-2 + 12a) Solving 16 + 6a = -2 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 16 + 6a + -12a = -2 + 12a + -12a Combine like terms: 6a + -12a = -6a 16 + -6a = -2 + 12a + -12a Combine like terms: 12a + -12a = 0 16 + -6a = -2 + 0 16 + -6a = -2 Add '-16' to each side of the equation. 16 + -16 + -6a = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -6a = -2 + -16 -6a = -2 + -16 Combine like terms: -2 + -16 = -18 -6a = -18 Divide each side by '-6'. a = 3 Simplifying a = 3
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