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Simplifying 238 = 7(4 + -6a) 238 = (4 * 7 + -6a * 7) 238 = (28 + -42a) Solving 238 = 28 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. 238 + 42a = 28 + -42a + 42a Combine like terms: -42a + 42a = 0 238 + 42a = 28 + 0 238 + 42a = 28 Add '-238' to each side of the equation. 238 + -238 + 42a = 28 + -238 Combine like terms: 238 + -238 = 0 0 + 42a = 28 + -238 42a = 28 + -238 Combine like terms: 28 + -238 = -210 42a = -210 Divide each side by '42'. a = -5 Simplifying a = -5
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