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Simplifying -3(k + 2) + -1k + -9 = -4(k + 5) * 5 Reorder the terms: -3(2 + k) + -1k + -9 = -4(k + 5) * 5 (2 * -3 + k * -3) + -1k + -9 = -4(k + 5) * 5 (-6 + -3k) + -1k + -9 = -4(k + 5) * 5 Reorder the terms: -6 + -9 + -3k + -1k = -4(k + 5) * 5 Combine like terms: -6 + -9 = -15 -15 + -3k + -1k = -4(k + 5) * 5 Combine like terms: -3k + -1k = -4k -15 + -4k = -4(k + 5) * 5 Reorder the terms: -15 + -4k = -4(5 + k) * 5 Reorder the terms for easier multiplication: -15 + -4k = -4 * 5(5 + k) Multiply -4 * 5 -15 + -4k = -20(5 + k) -15 + -4k = (5 * -20 + k * -20) -15 + -4k = (-100 + -20k) Solving -15 + -4k = -100 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. -15 + -4k + 20k = -100 + -20k + 20k Combine like terms: -4k + 20k = 16k -15 + 16k = -100 + -20k + 20k Combine like terms: -20k + 20k = 0 -15 + 16k = -100 + 0 -15 + 16k = -100 Add '15' to each side of the equation. -15 + 15 + 16k = -100 + 15 Combine like terms: -15 + 15 = 0 0 + 16k = -100 + 15 16k = -100 + 15 Combine like terms: -100 + 15 = -85 16k = -85 Divide each side by '16'. k = -5.3125 Simplifying k = -5.3125
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