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Simplifying -4k + -8(k + 6) = 2k + -34 Reorder the terms: -4k + -8(6 + k) = 2k + -34 -4k + (6 * -8 + k * -8) = 2k + -34 -4k + (-48 + -8k) = 2k + -34 Reorder the terms: -48 + -4k + -8k = 2k + -34 Combine like terms: -4k + -8k = -12k -48 + -12k = 2k + -34 Reorder the terms: -48 + -12k = -34 + 2k Solving -48 + -12k = -34 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -48 + -12k + -2k = -34 + 2k + -2k Combine like terms: -12k + -2k = -14k -48 + -14k = -34 + 2k + -2k Combine like terms: 2k + -2k = 0 -48 + -14k = -34 + 0 -48 + -14k = -34 Add '48' to each side of the equation. -48 + 48 + -14k = -34 + 48 Combine like terms: -48 + 48 = 0 0 + -14k = -34 + 48 -14k = -34 + 48 Combine like terms: -34 + 48 = 14 -14k = 14 Divide each side by '-14'. k = -1 Simplifying k = -1
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