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Simplifying -6(k + -8) + -1(-7 + 7) = 5 Reorder the terms: -6(-8 + k) + -1(-7 + 7) = 5 (-8 * -6 + k * -6) + -1(-7 + 7) = 5 (48 + -6k) + -1(-7 + 7) = 5 Combine like terms: -7 + 7 = 0 48 + -6k + -1(0) = 5 Multiply -1 * 0 48 + -6k + 0 = 5 Anything times zero is zero. 48 + -6k + 0 = 5 Reorder the terms: 48 + 0 + -6k = 5 Combine like terms: 48 + 0 = 48 48 + -6k = 5 Solving 48 + -6k = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -6k = 5 + -48 Combine like terms: 48 + -48 = 0 0 + -6k = 5 + -48 -6k = 5 + -48 Combine like terms: 5 + -48 = -43 -6k = -43 Divide each side by '-6'. k = 7.166666667 Simplifying k = 7.166666667
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