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Simplifying 55(k + -4) = 4 + -3k Reorder the terms: 55(-4 + k) = 4 + -3k (-4 * 55 + k * 55) = 4 + -3k (-220 + 55k) = 4 + -3k Solving -220 + 55k = 4 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -220 + 55k + 3k = 4 + -3k + 3k Combine like terms: 55k + 3k = 58k -220 + 58k = 4 + -3k + 3k Combine like terms: -3k + 3k = 0 -220 + 58k = 4 + 0 -220 + 58k = 4 Add '220' to each side of the equation. -220 + 220 + 58k = 4 + 220 Combine like terms: -220 + 220 = 0 0 + 58k = 4 + 220 58k = 4 + 220 Combine like terms: 4 + 220 = 224 58k = 224 Divide each side by '58'. k = 3.862068966 Simplifying k = 3.862068966
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