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Simplifying 5(4k + -11) + -2k = 53 Reorder the terms: 5(-11 + 4k) + -2k = 53 (-11 * 5 + 4k * 5) + -2k = 53 (-55 + 20k) + -2k = 53 Combine like terms: 20k + -2k = 18k -55 + 18k = 53 Solving -55 + 18k = 53 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 18k = 53 + 55 Combine like terms: -55 + 55 = 0 0 + 18k = 53 + 55 18k = 53 + 55 Combine like terms: 53 + 55 = 108 18k = 108 Divide each side by '18'. k = 6 Simplifying k = 6
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