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Simplifying -7(4k + 9) = 19 + -8k Reorder the terms: -7(9 + 4k) = 19 + -8k (9 * -7 + 4k * -7) = 19 + -8k (-63 + -28k) = 19 + -8k Solving -63 + -28k = 19 + -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. -63 + -28k + 8k = 19 + -8k + 8k Combine like terms: -28k + 8k = -20k -63 + -20k = 19 + -8k + 8k Combine like terms: -8k + 8k = 0 -63 + -20k = 19 + 0 -63 + -20k = 19 Add '63' to each side of the equation. -63 + 63 + -20k = 19 + 63 Combine like terms: -63 + 63 = 0 0 + -20k = 19 + 63 -20k = 19 + 63 Combine like terms: 19 + 63 = 82 -20k = 82 Divide each side by '-20'. k = -4.1 Simplifying k = -4.1
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