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Simplifying 1.8k + -2 = 0.2(3k + -4) Reorder the terms: -2 + 1.8k = 0.2(3k + -4) Reorder the terms: -2 + 1.8k = 0.2(-4 + 3k) -2 + 1.8k = (-4 * 0.2 + 3k * 0.2) -2 + 1.8k = (-0.8 + 0.6k) Solving -2 + 1.8k = -0.8 + 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. -2 + 1.8k + -0.6k = -0.8 + 0.6k + -0.6k Combine like terms: 1.8k + -0.6k = 1.2k -2 + 1.2k = -0.8 + 0.6k + -0.6k Combine like terms: 0.6k + -0.6k = 0.0 -2 + 1.2k = -0.8 + 0.0 -2 + 1.2k = -0.8 Add '2' to each side of the equation. -2 + 2 + 1.2k = -0.8 + 2 Combine like terms: -2 + 2 = 0 0 + 1.2k = -0.8 + 2 1.2k = -0.8 + 2 Combine like terms: -0.8 + 2 = 1.2 1.2k = 1.2 Divide each side by '1.2'. k = 1 Simplifying k = 1
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