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Simplifying -102 = -2a + -4(6a + -7) Reorder the terms: -102 = -2a + -4(-7 + 6a) -102 = -2a + (-7 * -4 + 6a * -4) -102 = -2a + (28 + -24a) Reorder the terms: -102 = 28 + -2a + -24a Combine like terms: -2a + -24a = -26a -102 = 28 + -26a Solving -102 = 28 + -26a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26a' to each side of the equation. -102 + 26a = 28 + -26a + 26a Combine like terms: -26a + 26a = 0 -102 + 26a = 28 + 0 -102 + 26a = 28 Add '102' to each side of the equation. -102 + 102 + 26a = 28 + 102 Combine like terms: -102 + 102 = 0 0 + 26a = 28 + 102 26a = 28 + 102 Combine like terms: 28 + 102 = 130 26a = 130 Divide each side by '26'. a = 5 Simplifying a = 5
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