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Simplifying -11 + 10 = -2(k + 2) + -3 Combine like terms: -11 + 10 = -1 -1 = -2(k + 2) + -3 Reorder the terms: -1 = -2(2 + k) + -3 -1 = (2 * -2 + k * -2) + -3 -1 = (-4 + -2k) + -3 Reorder the terms: -1 = -4 + -3 + -2k Combine like terms: -4 + -3 = -7 -1 = -7 + -2k Solving -1 = -7 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -1 + 2k = -7 + -2k + 2k Combine like terms: -2k + 2k = 0 -1 + 2k = -7 + 0 -1 + 2k = -7 Add '1' to each side of the equation. -1 + 1 + 2k = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 2k = -7 + 1 2k = -7 + 1 Combine like terms: -7 + 1 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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