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Simplifying -2[3x + 3(K + -8)] = -2[3(x + 7)] Reorder the terms: -2[3x + 3(-8 + K)] = -2[3(x + 7)] -2[3x + (-8 * 3 + K * 3)] = -2[3(x + 7)] -2[3x + (-24 + 3K)] = -2[3(x + 7)] Reorder the terms: -2[-24 + 3K + 3x] = -2[3(x + 7)] [-24 * -2 + 3K * -2 + 3x * -2] = -2[3(x + 7)] [48 + -6K + -6x] = -2[3(x + 7)] Reorder the terms: 48 + -6K + -6x = -2[3(7 + x)] 48 + -6K + -6x = -2[(7 * 3 + x * 3)] 48 + -6K + -6x = -2[(21 + 3x)] 48 + -6K + -6x = [21 * -2 + 3x * -2] 48 + -6K + -6x = [-42 + -6x] Add '6x' to each side of the equation. 48 + -6K + -6x + 6x = -42 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + -6K + 0 = -42 + -6x + 6x 48 + -6K = -42 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + -6K = -42 + 0 48 + -6K = -42 Solving 48 + -6K = -42 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -6K = -42 + -48 Combine like terms: 48 + -48 = 0 0 + -6K = -42 + -48 -6K = -42 + -48 Combine like terms: -42 + -48 = -90 -6K = -90 Divide each side by '-6'. K = 15 Simplifying K = 15
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