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Simplifying -18.5 = 8 + 6(k + -7.5) Reorder the terms: -18.5 = 8 + 6(-7.5 + k) -18.5 = 8 + (-7.5 * 6 + k * 6) -18.5 = 8 + (-45 + 6k) Combine like terms: 8 + -45 = -37 -18.5 = -37 + 6k Solving -18.5 = -37 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -18.5 + -6k = -37 + 6k + -6k Combine like terms: 6k + -6k = 0 -18.5 + -6k = -37 + 0 -18.5 + -6k = -37 Add '18.5' to each side of the equation. -18.5 + 18.5 + -6k = -37 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + -6k = -37 + 18.5 -6k = -37 + 18.5 Combine like terms: -37 + 18.5 = -18.5 -6k = -18.5 Divide each side by '-6'. k = 3.083333333 Simplifying k = 3.083333333
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