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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 = -7a 12 + -7a = -16 + -7a + 7a Combine like terms: -7a + 7a = 0 12 + -7a = -16 + 0 12 + -7a = -16 Add '-12' to each side of the equation. 12 + -12 + -7a = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -7a = -16 + -12 -7a = -16 + -12 Combine like terms: -16 + -12 = -28 -7a = -28 Divide each side by '-7'. a = 4 Simplifying a = 4
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