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Simplifying 1.6k + -72 = 4k + -30 Reorder the terms: -72 + 1.6k = 4k + -30 Reorder the terms: -72 + 1.6k = -30 + 4k Solving -72 + 1.6k = -30 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -72 + 1.6k + -4k = -30 + 4k + -4k Combine like terms: 1.6k + -4k = -2.4k -72 + -2.4k = -30 + 4k + -4k Combine like terms: 4k + -4k = 0 -72 + -2.4k = -30 + 0 -72 + -2.4k = -30 Add '72' to each side of the equation. -72 + 72 + -2.4k = -30 + 72 Combine like terms: -72 + 72 = 0 0 + -2.4k = -30 + 72 -2.4k = -30 + 72 Combine like terms: -30 + 72 = 42 -2.4k = 42 Divide each side by '-2.4'. k = -17.5 Simplifying k = -17.5
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