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Simplifying 4k + -7 = 3(1 + 2k) Reorder the terms: -7 + 4k = 3(1 + 2k) -7 + 4k = (1 * 3 + 2k * 3) -7 + 4k = (3 + 6k) Solving -7 + 4k = 3 + 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. -7 + 4k + -6k = 3 + 6k + -6k Combine like terms: 4k + -6k = -2k -7 + -2k = 3 + 6k + -6k Combine like terms: 6k + -6k = 0 -7 + -2k = 3 + 0 -7 + -2k = 3 Add '7' to each side of the equation. -7 + 7 + -2k = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -2k = 3 + 7 -2k = 3 + 7 Combine like terms: 3 + 7 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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