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Simplifying -28 = -7(3x + 4) + 21k Reorder the terms: -28 = -7(4 + 3x) + 21k -28 = (4 * -7 + 3x * -7) + 21k -28 = (-28 + -21x) + 21k Reorder the terms: -28 = -28 + 21k + -21x Add '28' to each side of the equation. -28 + 28 = -28 + 21k + 28 + -21x Combine like terms: -28 + 28 = 0 0 = -28 + 21k + 28 + -21x Reorder the terms: 0 = -28 + 28 + 21k + -21x Combine like terms: -28 + 28 = 0 0 = 0 + 21k + -21x 0 = 21k + -21x Solving 0 = 21k + -21x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 0 + -21k = 21k + -21k + -21x Remove the zero: -21k = 21k + -21k + -21x Combine like terms: 21k + -21k = 0 -21k = 0 + -21x -21k = -21x Divide each side by '-21'. k = x Simplifying k = x
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