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Simplifying 3[2k + -5] + -1k = 4 + -1[3k + 7] Reorder the terms: 3[-5 + 2k] + -1k = 4 + -1[3k + 7] [-5 * 3 + 2k * 3] + -1k = 4 + -1[3k + 7] [-15 + 6k] + -1k = 4 + -1[3k + 7] Combine like terms: 6k + -1k = 5k -15 + 5k = 4 + -1[3k + 7] Reorder the terms: -15 + 5k = 4 + -1[7 + 3k] -15 + 5k = 4 + [7 * -1 + 3k * -1] -15 + 5k = 4 + [-7 + -3k] Combine like terms: 4 + -7 = -3 -15 + 5k = -3 + -3k Solving -15 + 5k = -3 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -15 + 5k + 3k = -3 + -3k + 3k Combine like terms: 5k + 3k = 8k -15 + 8k = -3 + -3k + 3k Combine like terms: -3k + 3k = 0 -15 + 8k = -3 + 0 -15 + 8k = -3 Add '15' to each side of the equation. -15 + 15 + 8k = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 8k = -3 + 15 8k = -3 + 15 Combine like terms: -3 + 15 = 12 8k = 12 Divide each side by '8'. k = 1.5 Simplifying k = 1.5
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