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Simplifying -4(k + 1) + -11 = 3k + 18 Reorder the terms: -4(1 + k) + -11 = 3k + 18 (1 * -4 + k * -4) + -11 = 3k + 18 (-4 + -4k) + -11 = 3k + 18 Reorder the terms: -4 + -11 + -4k = 3k + 18 Combine like terms: -4 + -11 = -15 -15 + -4k = 3k + 18 Reorder the terms: -15 + -4k = 18 + 3k Solving -15 + -4k = 18 + 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. -15 + -4k + -3k = 18 + 3k + -3k Combine like terms: -4k + -3k = -7k -15 + -7k = 18 + 3k + -3k Combine like terms: 3k + -3k = 0 -15 + -7k = 18 + 0 -15 + -7k = 18 Add '15' to each side of the equation. -15 + 15 + -7k = 18 + 15 Combine like terms: -15 + 15 = 0 0 + -7k = 18 + 15 -7k = 18 + 15 Combine like terms: 18 + 15 = 33 -7k = 33 Divide each side by '-7'. k = -4.714285714 Simplifying k = -4.714285714
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