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Simplifying 7(6 + -4k) + 20 = -50 (6 * 7 + -4k * 7) + 20 = -50 (42 + -28k) + 20 = -50 Reorder the terms: 42 + 20 + -28k = -50 Combine like terms: 42 + 20 = 62 62 + -28k = -50 Solving 62 + -28k = -50 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -28k = -50 + -62 Combine like terms: 62 + -62 = 0 0 + -28k = -50 + -62 -28k = -50 + -62 Combine like terms: -50 + -62 = -112 -28k = -112 Divide each side by '-28'. k = 4 Simplifying k = 4
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