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Simplifying 8(k + 6) = 14a + -29 Reorder the terms: 8(6 + k) = 14a + -29 (6 * 8 + k * 8) = 14a + -29 (48 + 8k) = 14a + -29 Reorder the terms: 48 + 8k = -29 + 14a Solving 48 + 8k = -29 + 14a Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 8k = -29 + -48 + 14a Combine like terms: 48 + -48 = 0 0 + 8k = -29 + -48 + 14a 8k = -29 + -48 + 14a Combine like terms: -29 + -48 = -77 8k = -77 + 14a Divide each side by '8'. k = -9.625 + 1.75a Simplifying k = -9.625 + 1.75a
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