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Simplifying 2z + -4 + -3k + -17 = -21 Reorder the terms: -4 + -17 + -3k + 2z = -21 Combine like terms: -4 + -17 = -21 -21 + -3k + 2z = -21 Add '21' to each side of the equation. -21 + -3k + 21 + 2z = -21 + 21 Reorder the terms: -21 + 21 + -3k + 2z = -21 + 21 Combine like terms: -21 + 21 = 0 0 + -3k + 2z = -21 + 21 -3k + 2z = -21 + 21 Combine like terms: -21 + 21 = 0 -3k + 2z = 0 Solving -3k + 2z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2z' to each side of the equation. -3k + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 -3k + 0 = 0 + -2z -3k = 0 + -2z Remove the zero: -3k = -2z Divide each side by '-3'. k = 0.6666666667z Simplifying k = 0.6666666667z
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