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Simplifying 6(k + -9) + 5 = -2(k + 3) + -3 Reorder the terms: 6(-9 + k) + 5 = -2(k + 3) + -3 (-9 * 6 + k * 6) + 5 = -2(k + 3) + -3 (-54 + 6k) + 5 = -2(k + 3) + -3 Reorder the terms: -54 + 5 + 6k = -2(k + 3) + -3 Combine like terms: -54 + 5 = -49 -49 + 6k = -2(k + 3) + -3 Reorder the terms: -49 + 6k = -2(3 + k) + -3 -49 + 6k = (3 * -2 + k * -2) + -3 -49 + 6k = (-6 + -2k) + -3 Reorder the terms: -49 + 6k = -6 + -3 + -2k Combine like terms: -6 + -3 = -9 -49 + 6k = -9 + -2k Solving -49 + 6k = -9 + -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. -49 + 6k + 2k = -9 + -2k + 2k Combine like terms: 6k + 2k = 8k -49 + 8k = -9 + -2k + 2k Combine like terms: -2k + 2k = 0 -49 + 8k = -9 + 0 -49 + 8k = -9 Add '49' to each side of the equation. -49 + 49 + 8k = -9 + 49 Combine like terms: -49 + 49 = 0 0 + 8k = -9 + 49 8k = -9 + 49 Combine like terms: -9 + 49 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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