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Simplifying 34.8k + 0.2(k + -4) = 1.1(2 + -3m) + -2.4 Reorder the terms: 34.8k + 0.2(-4 + k) = 1.1(2 + -3m) + -2.4 34.8k + (-4 * 0.2 + k * 0.2) = 1.1(2 + -3m) + -2.4 34.8k + (-0.8 + 0.2k) = 1.1(2 + -3m) + -2.4 Reorder the terms: -0.8 + 34.8k + 0.2k = 1.1(2 + -3m) + -2.4 Combine like terms: 34.8k + 0.2k = 35k -0.8 + 35k = 1.1(2 + -3m) + -2.4 -0.8 + 35k = (2 * 1.1 + -3m * 1.1) + -2.4 -0.8 + 35k = (2.2 + -3.3m) + -2.4 Reorder the terms: -0.8 + 35k = 2.2 + -2.4 + -3.3m Combine like terms: 2.2 + -2.4 = -0.2 -0.8 + 35k = -0.2 + -3.3m Solving -0.8 + 35k = -0.2 + -3.3m Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + 35k = -0.2 + 0.8 + -3.3m Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 35k = -0.2 + 0.8 + -3.3m 35k = -0.2 + 0.8 + -3.3m Combine like terms: -0.2 + 0.8 = 0.6 35k = 0.6 + -3.3m Divide each side by '35'. k = 0.01714285714 + -0.09428571429m Simplifying k = 0.01714285714 + -0.09428571429m
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