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Simplifying 2(k + -4.8) = -0.7(k + -8.5) Reorder the terms: 2(-4.8 + k) = -0.7(k + -8.5) (-4.8 * 2 + k * 2) = -0.7(k + -8.5) (-9.6 + 2k) = -0.7(k + -8.5) Reorder the terms: -9.6 + 2k = -0.7(-8.5 + k) -9.6 + 2k = (-8.5 * -0.7 + k * -0.7) -9.6 + 2k = (5.95 + -0.7k) Solving -9.6 + 2k = 5.95 + -0.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.7k' to each side of the equation. -9.6 + 2k + 0.7k = 5.95 + -0.7k + 0.7k Combine like terms: 2k + 0.7k = 2.7k -9.6 + 2.7k = 5.95 + -0.7k + 0.7k Combine like terms: -0.7k + 0.7k = 0.0 -9.6 + 2.7k = 5.95 + 0.0 -9.6 + 2.7k = 5.95 Add '9.6' to each side of the equation. -9.6 + 9.6 + 2.7k = 5.95 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + 2.7k = 5.95 + 9.6 2.7k = 5.95 + 9.6 Combine like terms: 5.95 + 9.6 = 15.55 2.7k = 15.55 Divide each side by '2.7'. k = 5.759259259 Simplifying k = 5.759259259
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