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Simplifying -7 + 6(1 + -9k) = -34 -7 + (1 * 6 + -9k * 6) = -34 -7 + (6 + -54k) = -34 Combine like terms: -7 + 6 = -1 -1 + -54k = -34 Solving -1 + -54k = -34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -54k = -34 + 1 Combine like terms: -1 + 1 = 0 0 + -54k = -34 + 1 -54k = -34 + 1 Combine like terms: -34 + 1 = -33 -54k = -33 Divide each side by '-54'. k = 0.6111111111 Simplifying k = 0.6111111111
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