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Simplifying 6k + -17 = 2(4k + -3) + 7 Reorder the terms: -17 + 6k = 2(4k + -3) + 7 Reorder the terms: -17 + 6k = 2(-3 + 4k) + 7 -17 + 6k = (-3 * 2 + 4k * 2) + 7 -17 + 6k = (-6 + 8k) + 7 Reorder the terms: -17 + 6k = -6 + 7 + 8k Combine like terms: -6 + 7 = 1 -17 + 6k = 1 + 8k Solving -17 + 6k = 1 + 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. -17 + 6k + -8k = 1 + 8k + -8k Combine like terms: 6k + -8k = -2k -17 + -2k = 1 + 8k + -8k Combine like terms: 8k + -8k = 0 -17 + -2k = 1 + 0 -17 + -2k = 1 Add '17' to each side of the equation. -17 + 17 + -2k = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -2k = 1 + 17 -2k = 1 + 17 Combine like terms: 1 + 17 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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