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Simplifying -15 + 2k = -6(k + 2) + 5 Reorder the terms: -15 + 2k = -6(2 + k) + 5 -15 + 2k = (2 * -6 + k * -6) + 5 -15 + 2k = (-12 + -6k) + 5 Reorder the terms: -15 + 2k = -12 + 5 + -6k Combine like terms: -12 + 5 = -7 -15 + 2k = -7 + -6k Solving -15 + 2k = -7 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -15 + 2k + 6k = -7 + -6k + 6k Combine like terms: 2k + 6k = 8k -15 + 8k = -7 + -6k + 6k Combine like terms: -6k + 6k = 0 -15 + 8k = -7 + 0 -15 + 8k = -7 Add '15' to each side of the equation. -15 + 15 + 8k = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 8k = -7 + 15 8k = -7 + 15 Combine like terms: -7 + 15 = 8 8k = 8 Divide each side by '8'. k = 1 Simplifying k = 1
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