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Simplifying -38 = 6 + -4(-2k + 7) Reorder the terms: -38 = 6 + -4(7 + -2k) -38 = 6 + (7 * -4 + -2k * -4) -38 = 6 + (-28 + 8k) Combine like terms: 6 + -28 = -22 -38 = -22 + 8k Solving -38 = -22 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -38 + -8k = -22 + 8k + -8k Combine like terms: 8k + -8k = 0 -38 + -8k = -22 + 0 -38 + -8k = -22 Add '38' to each side of the equation. -38 + 38 + -8k = -22 + 38 Combine like terms: -38 + 38 = 0 0 + -8k = -22 + 38 -8k = -22 + 38 Combine like terms: -22 + 38 = 16 -8k = 16 Divide each side by '-8'. k = -2 Simplifying k = -2
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