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Simplifying 5(k + -1.6) = -0.8(k + -6.6) Reorder the terms: 5(-1.6 + k) = -0.8(k + -6.6) (-1.6 * 5 + k * 5) = -0.8(k + -6.6) (-8 + 5k) = -0.8(k + -6.6) Reorder the terms: -8 + 5k = -0.8(-6.6 + k) -8 + 5k = (-6.6 * -0.8 + k * -0.8) -8 + 5k = (5.28 + -0.8k) Solving -8 + 5k = 5.28 + -0.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.8k' to each side of the equation. -8 + 5k + 0.8k = 5.28 + -0.8k + 0.8k Combine like terms: 5k + 0.8k = 5.8k -8 + 5.8k = 5.28 + -0.8k + 0.8k Combine like terms: -0.8k + 0.8k = 0.0 -8 + 5.8k = 5.28 + 0.0 -8 + 5.8k = 5.28 Add '8' to each side of the equation. -8 + 8 + 5.8k = 5.28 + 8 Combine like terms: -8 + 8 = 0 0 + 5.8k = 5.28 + 8 5.8k = 5.28 + 8 Combine like terms: 5.28 + 8 = 13.28 5.8k = 13.28 Divide each side by '5.8'. k = 2.289655172 Simplifying k = 2.289655172
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