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Simplifying -7 + -5(1 + 9k) = 30 -7 + (1 * -5 + 9k * -5) = 30 -7 + (-5 + -45k) = 30 Combine like terms: -7 + -5 = -12 -12 + -45k = 30 Solving -12 + -45k = 30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -45k = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -45k = 30 + 12 -45k = 30 + 12 Combine like terms: 30 + 12 = 42 -45k = 42 Divide each side by '-45'. k = -0.9333333333 Simplifying k = -0.9333333333
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