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Simplifying -3k + -34 = 4(k + -5) Reorder the terms: -34 + -3k = 4(k + -5) Reorder the terms: -34 + -3k = 4(-5 + k) -34 + -3k = (-5 * 4 + k * 4) -34 + -3k = (-20 + 4k) Solving -34 + -3k = -20 + 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. -34 + -3k + -4k = -20 + 4k + -4k Combine like terms: -3k + -4k = -7k -34 + -7k = -20 + 4k + -4k Combine like terms: 4k + -4k = 0 -34 + -7k = -20 + 0 -34 + -7k = -20 Add '34' to each side of the equation. -34 + 34 + -7k = -20 + 34 Combine like terms: -34 + 34 = 0 0 + -7k = -20 + 34 -7k = -20 + 34 Combine like terms: -20 + 34 = 14 -7k = 14 Divide each side by '-7'. k = -2 Simplifying k = -2
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