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Simplifying -7 = 3(k + 2) + -7(k + 3) Reorder the terms: -7 = 3(2 + k) + -7(k + 3) -7 = (2 * 3 + k * 3) + -7(k + 3) -7 = (6 + 3k) + -7(k + 3) Reorder the terms: -7 = 6 + 3k + -7(3 + k) -7 = 6 + 3k + (3 * -7 + k * -7) -7 = 6 + 3k + (-21 + -7k) Reorder the terms: -7 = 6 + -21 + 3k + -7k Combine like terms: 6 + -21 = -15 -7 = -15 + 3k + -7k Combine like terms: 3k + -7k = -4k -7 = -15 + -4k Solving -7 = -15 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -7 + 4k = -15 + -4k + 4k Combine like terms: -4k + 4k = 0 -7 + 4k = -15 + 0 -7 + 4k = -15 Add '7' to each side of the equation. -7 + 7 + 4k = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = -15 + 7 4k = -15 + 7 Combine like terms: -15 + 7 = -8 4k = -8 Divide each side by '4'. k = -2 Simplifying k = -2
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