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Simplifying 9(8k + -4) + 7(3 + k) = 143 Reorder the terms: 9(-4 + 8k) + 7(3 + k) = 143 (-4 * 9 + 8k * 9) + 7(3 + k) = 143 (-36 + 72k) + 7(3 + k) = 143 -36 + 72k + (3 * 7 + k * 7) = 143 -36 + 72k + (21 + 7k) = 143 Reorder the terms: -36 + 21 + 72k + 7k = 143 Combine like terms: -36 + 21 = -15 -15 + 72k + 7k = 143 Combine like terms: 72k + 7k = 79k -15 + 79k = 143 Solving -15 + 79k = 143 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 79k = 143 + 15 Combine like terms: -15 + 15 = 0 0 + 79k = 143 + 15 79k = 143 + 15 Combine like terms: 143 + 15 = 158 79k = 158 Divide each side by '79'. k = 2 Simplifying k = 2
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