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Simplifying -238 = -8a + -3(7a + 2) Reorder the terms: -238 = -8a + -3(2 + 7a) -238 = -8a + (2 * -3 + 7a * -3) -238 = -8a + (-6 + -21a) Reorder the terms: -238 = -6 + -8a + -21a Combine like terms: -8a + -21a = -29a -238 = -6 + -29a Solving -238 = -6 + -29a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '29a' to each side of the equation. -238 + 29a = -6 + -29a + 29a Combine like terms: -29a + 29a = 0 -238 + 29a = -6 + 0 -238 + 29a = -6 Add '238' to each side of the equation. -238 + 238 + 29a = -6 + 238 Combine like terms: -238 + 238 = 0 0 + 29a = -6 + 238 29a = -6 + 238 Combine like terms: -6 + 238 = 232 29a = 232 Divide each side by '29'. a = 8 Simplifying a = 8
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