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Simplifying -188 + -6k = 6(1 + 3k) -188 + -6k = (1 * 6 + 3k * 6) -188 + -6k = (6 + 18k) Solving -188 + -6k = 6 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -188 + -6k + -18k = 6 + 18k + -18k Combine like terms: -6k + -18k = -24k -188 + -24k = 6 + 18k + -18k Combine like terms: 18k + -18k = 0 -188 + -24k = 6 + 0 -188 + -24k = 6 Add '188' to each side of the equation. -188 + 188 + -24k = 6 + 188 Combine like terms: -188 + 188 = 0 0 + -24k = 6 + 188 -24k = 6 + 188 Combine like terms: 6 + 188 = 194 -24k = 194 Divide each side by '-24'. k = -8.083333333 Simplifying k = -8.083333333
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