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Simplifying -10 + -19k = 20(k + -18) + -14k Reorder the terms: -10 + -19k = 20(-18 + k) + -14k -10 + -19k = (-18 * 20 + k * 20) + -14k -10 + -19k = (-360 + 20k) + -14k Combine like terms: 20k + -14k = 6k -10 + -19k = -360 + 6k Solving -10 + -19k = -360 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -10 + -19k + -6k = -360 + 6k + -6k Combine like terms: -19k + -6k = -25k -10 + -25k = -360 + 6k + -6k Combine like terms: 6k + -6k = 0 -10 + -25k = -360 + 0 -10 + -25k = -360 Add '10' to each side of the equation. -10 + 10 + -25k = -360 + 10 Combine like terms: -10 + 10 = 0 0 + -25k = -360 + 10 -25k = -360 + 10 Combine like terms: -360 + 10 = -350 -25k = -350 Divide each side by '-25'. k = 14 Simplifying k = 14
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