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Simplifying -12.51 + -10.8k = 14.63 + -4.9k Solving -12.51 + -10.8k = 14.63 + -4.9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4.9k' to each side of the equation. -12.51 + -10.8k + 4.9k = 14.63 + -4.9k + 4.9k Combine like terms: -10.8k + 4.9k = -5.9k -12.51 + -5.9k = 14.63 + -4.9k + 4.9k Combine like terms: -4.9k + 4.9k = 0.0 -12.51 + -5.9k = 14.63 + 0.0 -12.51 + -5.9k = 14.63 Add '12.51' to each side of the equation. -12.51 + 12.51 + -5.9k = 14.63 + 12.51 Combine like terms: -12.51 + 12.51 = 0.00 0.00 + -5.9k = 14.63 + 12.51 -5.9k = 14.63 + 12.51 Combine like terms: 14.63 + 12.51 = 27.14 -5.9k = 27.14 Divide each side by '-5.9'. k = -4.6 Simplifying k = -4.6
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