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Simplifying -6(7k + 2) + -1(-5 + -2k) = 33 Reorder the terms: -6(2 + 7k) + -1(-5 + -2k) = 33 (2 * -6 + 7k * -6) + -1(-5 + -2k) = 33 (-12 + -42k) + -1(-5 + -2k) = 33 -12 + -42k + (-5 * -1 + -2k * -1) = 33 -12 + -42k + (5 + 2k) = 33 Reorder the terms: -12 + 5 + -42k + 2k = 33 Combine like terms: -12 + 5 = -7 -7 + -42k + 2k = 33 Combine like terms: -42k + 2k = -40k -7 + -40k = 33 Solving -7 + -40k = 33 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -40k = 33 + 7 Combine like terms: -7 + 7 = 0 0 + -40k = 33 + 7 -40k = 33 + 7 Combine like terms: 33 + 7 = 40 -40k = 40 Divide each side by '-40'. k = -1 Simplifying k = -1
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