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Simplifying -3.5 = 9.4k + 3(-3k + -1.7) Reorder the terms: -3.5 = 9.4k + 3(-1.7 + -3k) -3.5 = 9.4k + (-1.7 * 3 + -3k * 3) -3.5 = 9.4k + (-5.1 + -9k) Reorder the terms: -3.5 = -5.1 + 9.4k + -9k Combine like terms: 9.4k + -9k = 0.4k -3.5 = -5.1 + 0.4k Solving -3.5 = -5.1 + 0.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.4k' to each side of the equation. -3.5 + -0.4k = -5.1 + 0.4k + -0.4k Combine like terms: 0.4k + -0.4k = 0.0 -3.5 + -0.4k = -5.1 + 0.0 -3.5 + -0.4k = -5.1 Add '3.5' to each side of the equation. -3.5 + 3.5 + -0.4k = -5.1 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -0.4k = -5.1 + 3.5 -0.4k = -5.1 + 3.5 Combine like terms: -5.1 + 3.5 = -1.6 -0.4k = -1.6 Divide each side by '-0.4'. k = 4 Simplifying k = 4
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