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Simplifying 102 = -4(3a + -7) + 2 Reorder the terms: 102 = -4(-7 + 3a) + 2 102 = (-7 * -4 + 3a * -4) + 2 102 = (28 + -12a) + 2 Reorder the terms: 102 = 28 + 2 + -12a Combine like terms: 28 + 2 = 30 102 = 30 + -12a Solving 102 = 30 + -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. 102 + 12a = 30 + -12a + 12a Combine like terms: -12a + 12a = 0 102 + 12a = 30 + 0 102 + 12a = 30 Add '-102' to each side of the equation. 102 + -102 + 12a = 30 + -102 Combine like terms: 102 + -102 = 0 0 + 12a = 30 + -102 12a = 30 + -102 Combine like terms: 30 + -102 = -72 12a = -72 Divide each side by '12'. a = -6 Simplifying a = -6
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