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Simplifying -9 = 4(k + 19) + -13 Reorder the terms: -9 = 4(19 + k) + -13 -9 = (19 * 4 + k * 4) + -13 -9 = (76 + 4k) + -13 Reorder the terms: -9 = 76 + -13 + 4k Combine like terms: 76 + -13 = 63 -9 = 63 + 4k Solving -9 = 63 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -9 + -4k = 63 + 4k + -4k Combine like terms: 4k + -4k = 0 -9 + -4k = 63 + 0 -9 + -4k = 63 Add '9' to each side of the equation. -9 + 9 + -4k = 63 + 9 Combine like terms: -9 + 9 = 0 0 + -4k = 63 + 9 -4k = 63 + 9 Combine like terms: 63 + 9 = 72 -4k = 72 Divide each side by '-4'. k = -18 Simplifying k = -18
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