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Simplifying 26.5 = 4.5 + 8(k + -5) Reorder the terms: 26.5 = 4.5 + 8(-5 + k) 26.5 = 4.5 + (-5 * 8 + k * 8) 26.5 = 4.5 + (-40 + 8k) Combine like terms: 4.5 + -40 = -35.5 26.5 = -35.5 + 8k Solving 26.5 = -35.5 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 26.5 + -8k = -35.5 + 8k + -8k Combine like terms: 8k + -8k = 0 26.5 + -8k = -35.5 + 0 26.5 + -8k = -35.5 Add '-26.5' to each side of the equation. 26.5 + -26.5 + -8k = -35.5 + -26.5 Combine like terms: 26.5 + -26.5 = 0.0 0.0 + -8k = -35.5 + -26.5 -8k = -35.5 + -26.5 Combine like terms: -35.5 + -26.5 = -62 -8k = -62 Divide each side by '-8'. k = 7.75 Simplifying k = 7.75
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