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Simplifying 6k + -7 = 4(k + 1) Reorder the terms: -7 + 6k = 4(k + 1) Reorder the terms: -7 + 6k = 4(1 + k) -7 + 6k = (1 * 4 + k * 4) -7 + 6k = (4 + 4k) Solving -7 + 6k = 4 + 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. -7 + 6k + -4k = 4 + 4k + -4k Combine like terms: 6k + -4k = 2k -7 + 2k = 4 + 4k + -4k Combine like terms: 4k + -4k = 0 -7 + 2k = 4 + 0 -7 + 2k = 4 Add '7' to each side of the equation. -7 + 7 + 2k = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 2k = 4 + 7 2k = 4 + 7 Combine like terms: 4 + 7 = 11 2k = 11 Divide each side by '2'. k = 5.5 Simplifying k = 5.5
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