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Simplifying 2x + 3(k + 4) = -3 Reorder the terms: 2x + 3(4 + k) = -3 2x + (4 * 3 + k * 3) = -3 2x + (12 + 3k) = -3 Reorder the terms: 12 + 3k + 2x = -3 Solving 12 + 3k + 2x = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3k + -12 + 2x = -3 + -12 Reorder the terms: 12 + -12 + 3k + 2x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 3k + 2x = -3 + -12 3k + 2x = -3 + -12 Combine like terms: -3 + -12 = -15 3k + 2x = -15 Add '-2x' to each side of the equation. 3k + 2x + -2x = -15 + -2x Combine like terms: 2x + -2x = 0 3k + 0 = -15 + -2x 3k = -15 + -2x Divide each side by '3'. k = -5 + -0.6666666667x Simplifying k = -5 + -0.6666666667x
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