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Simplifying 10 = 1.8(k + 2) + -8 Reorder the terms: 10 = 1.8(2 + k) + -8 10 = (2 * 1.8 + k * 1.8) + -8 10 = (3.6 + 1.8k) + -8 Reorder the terms: 10 = 3.6 + -8 + 1.8k Combine like terms: 3.6 + -8 = -4.4 10 = -4.4 + 1.8k Solving 10 = -4.4 + 1.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.8k' to each side of the equation. 10 + -1.8k = -4.4 + 1.8k + -1.8k Combine like terms: 1.8k + -1.8k = 0.0 10 + -1.8k = -4.4 + 0.0 10 + -1.8k = -4.4 Add '-10' to each side of the equation. 10 + -10 + -1.8k = -4.4 + -10 Combine like terms: 10 + -10 = 0 0 + -1.8k = -4.4 + -10 -1.8k = -4.4 + -10 Combine like terms: -4.4 + -10 = -14.4 -1.8k = -14.4 Divide each side by '-1.8'. k = 8 Simplifying k = 8
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