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Simplifying 6k + -18 = 8(k + 1) Reorder the terms: -18 + 6k = 8(k + 1) Reorder the terms: -18 + 6k = 8(1 + k) -18 + 6k = (1 * 8 + k * 8) -18 + 6k = (8 + 8k) Solving -18 + 6k = 8 + 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. -18 + 6k + -8k = 8 + 8k + -8k Combine like terms: 6k + -8k = -2k -18 + -2k = 8 + 8k + -8k Combine like terms: 8k + -8k = 0 -18 + -2k = 8 + 0 -18 + -2k = 8 Add '18' to each side of the equation. -18 + 18 + -2k = 8 + 18 Combine like terms: -18 + 18 = 0 0 + -2k = 8 + 18 -2k = 8 + 18 Combine like terms: 8 + 18 = 26 -2k = 26 Divide each side by '-2'. k = -13 Simplifying k = -13
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