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Simplifying 7(-4k + -2) = -4k + 34 Reorder the terms: 7(-2 + -4k) = -4k + 34 (-2 * 7 + -4k * 7) = -4k + 34 (-14 + -28k) = -4k + 34 Reorder the terms: -14 + -28k = 34 + -4k Solving -14 + -28k = 34 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -14 + -28k + 4k = 34 + -4k + 4k Combine like terms: -28k + 4k = -24k -14 + -24k = 34 + -4k + 4k Combine like terms: -4k + 4k = 0 -14 + -24k = 34 + 0 -14 + -24k = 34 Add '14' to each side of the equation. -14 + 14 + -24k = 34 + 14 Combine like terms: -14 + 14 = 0 0 + -24k = 34 + 14 -24k = 34 + 14 Combine like terms: 34 + 14 = 48 -24k = 48 Divide each side by '-24'. k = -2 Simplifying k = -2
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