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Simplifying 2k + -7 = 3k + 4(2 + -4k) Reorder the terms: -7 + 2k = 3k + 4(2 + -4k) -7 + 2k = 3k + (2 * 4 + -4k * 4) -7 + 2k = 3k + (8 + -16k) Reorder the terms: -7 + 2k = 8 + 3k + -16k Combine like terms: 3k + -16k = -13k -7 + 2k = 8 + -13k Solving -7 + 2k = 8 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -7 + 2k + 13k = 8 + -13k + 13k Combine like terms: 2k + 13k = 15k -7 + 15k = 8 + -13k + 13k Combine like terms: -13k + 13k = 0 -7 + 15k = 8 + 0 -7 + 15k = 8 Add '7' to each side of the equation. -7 + 7 + 15k = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 15k = 8 + 7 15k = 8 + 7 Combine like terms: 8 + 7 = 15 15k = 15 Divide each side by '15'. k = 1 Simplifying k = 1
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