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Simplifying 4(k + -16) + -1 = 11 Reorder the terms: 4(-16 + k) + -1 = 11 (-16 * 4 + k * 4) + -1 = 11 (-64 + 4k) + -1 = 11 Reorder the terms: -64 + -1 + 4k = 11 Combine like terms: -64 + -1 = -65 -65 + 4k = 11 Solving -65 + 4k = 11 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 4k = 11 + 65 Combine like terms: -65 + 65 = 0 0 + 4k = 11 + 65 4k = 11 + 65 Combine like terms: 11 + 65 = 76 4k = 76 Divide each side by '4'. k = 19 Simplifying k = 19
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