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Simplifying 2(-7a + 6) = -16 + 7a Reorder the terms: 2(6 + -7a) = -16 + 7a (6 * 2 + -7a * 2) = -16 + 7a (12 + -14a) = -16 + 7a Solving 12 + -14a = -16 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 12 + -14a + -7a = -16 + 7a + -7a Combine like terms: -14a + -7a = -21a 12 + -21a = -16 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -21a = -16 + 0 12 + -21a = -16 Add '-12' to each side of the equation. 12 + -12 + -21a = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -21a = -16 + -12 -21a = -16 + -12 Combine like terms: -16 + -12 = -28 -21a = -28 Divide each side by '-21'. a = 1.333333333 Simplifying a = 1.333333333
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