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Simplifying -10k + 18 = 14 + 4(-4k + -20) Reorder the terms: 18 + -10k = 14 + 4(-4k + -20) Reorder the terms: 18 + -10k = 14 + 4(-20 + -4k) 18 + -10k = 14 + (-20 * 4 + -4k * 4) 18 + -10k = 14 + (-80 + -16k) Combine like terms: 14 + -80 = -66 18 + -10k = -66 + -16k Solving 18 + -10k = -66 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 18 + -10k + 16k = -66 + -16k + 16k Combine like terms: -10k + 16k = 6k 18 + 6k = -66 + -16k + 16k Combine like terms: -16k + 16k = 0 18 + 6k = -66 + 0 18 + 6k = -66 Add '-18' to each side of the equation. 18 + -18 + 6k = -66 + -18 Combine like terms: 18 + -18 = 0 0 + 6k = -66 + -18 6k = -66 + -18 Combine like terms: -66 + -18 = -84 6k = -84 Divide each side by '6'. k = -14 Simplifying k = -14
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