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Simplifying 3k + 2[4(k + -1) + 3] = 63 + -2k Reorder the terms: 3k + 2[4(-1 + k) + 3] = 63 + -2k 3k + 2[(-1 * 4 + k * 4) + 3] = 63 + -2k 3k + 2[(-4 + 4k) + 3] = 63 + -2k Reorder the terms: 3k + 2[-4 + 3 + 4k] = 63 + -2k Combine like terms: -4 + 3 = -1 3k + 2[-1 + 4k] = 63 + -2k 3k + [-1 * 2 + 4k * 2] = 63 + -2k 3k + [-2 + 8k] = 63 + -2k Reorder the terms: -2 + 3k + 8k = 63 + -2k Combine like terms: 3k + 8k = 11k -2 + 11k = 63 + -2k Solving -2 + 11k = 63 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -2 + 11k + 2k = 63 + -2k + 2k Combine like terms: 11k + 2k = 13k -2 + 13k = 63 + -2k + 2k Combine like terms: -2k + 2k = 0 -2 + 13k = 63 + 0 -2 + 13k = 63 Add '2' to each side of the equation. -2 + 2 + 13k = 63 + 2 Combine like terms: -2 + 2 = 0 0 + 13k = 63 + 2 13k = 63 + 2 Combine like terms: 63 + 2 = 65 13k = 65 Divide each side by '13'. k = 5 Simplifying k = 5
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