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Simplifying (-16k + -5) + -1(-5k + 8) = -3 Reorder the terms: (-5 + -16k) + -1(-5k + 8) = -3 Remove parenthesis around (-5 + -16k) -5 + -16k + -1(-5k + 8) = -3 Reorder the terms: -5 + -16k + -1(8 + -5k) = -3 -5 + -16k + (8 * -1 + -5k * -1) = -3 -5 + -16k + (-8 + 5k) = -3 Reorder the terms: -5 + -8 + -16k + 5k = -3 Combine like terms: -5 + -8 = -13 -13 + -16k + 5k = -3 Combine like terms: -16k + 5k = -11k -13 + -11k = -3 Solving -13 + -11k = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -11k = -3 + 13 Combine like terms: -13 + 13 = 0 0 + -11k = -3 + 13 -11k = -3 + 13 Combine like terms: -3 + 13 = 10 -11k = 10 Divide each side by '-11'. k = -0.9090909091 Simplifying k = -0.9090909091
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