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Simplifying -33 + -2k = -7(3k + 2) Reorder the terms: -33 + -2k = -7(2 + 3k) -33 + -2k = (2 * -7 + 3k * -7) -33 + -2k = (-14 + -21k) Solving -33 + -2k = -14 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -33 + -2k + 21k = -14 + -21k + 21k Combine like terms: -2k + 21k = 19k -33 + 19k = -14 + -21k + 21k Combine like terms: -21k + 21k = 0 -33 + 19k = -14 + 0 -33 + 19k = -14 Add '33' to each side of the equation. -33 + 33 + 19k = -14 + 33 Combine like terms: -33 + 33 = 0 0 + 19k = -14 + 33 19k = -14 + 33 Combine like terms: -14 + 33 = 19 19k = 19 Divide each side by '19'. k = 1 Simplifying k = 1
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