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Simplifying -18 + -6k = 0.6(k + 3) Reorder the terms: -18 + -6k = 0.6(3 + k) -18 + -6k = (3 * 0.6 + k * 0.6) -18 + -6k = (1.8 + 0.6k) Solving -18 + -6k = 1.8 + 0.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.6k' to each side of the equation. -18 + -6k + -0.6k = 1.8 + 0.6k + -0.6k Combine like terms: -6k + -0.6k = -6.6k -18 + -6.6k = 1.8 + 0.6k + -0.6k Combine like terms: 0.6k + -0.6k = 0.0 -18 + -6.6k = 1.8 + 0.0 -18 + -6.6k = 1.8 Add '18' to each side of the equation. -18 + 18 + -6.6k = 1.8 + 18 Combine like terms: -18 + 18 = 0 0 + -6.6k = 1.8 + 18 -6.6k = 1.8 + 18 Combine like terms: 1.8 + 18 = 19.8 -6.6k = 19.8 Divide each side by '-6.6'. k = -3 Simplifying k = -3
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