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Simplifying -40 = 6(-6k + -7) + 2(1 + k) Reorder the terms: -40 = 6(-7 + -6k) + 2(1 + k) -40 = (-7 * 6 + -6k * 6) + 2(1 + k) -40 = (-42 + -36k) + 2(1 + k) -40 = -42 + -36k + (1 * 2 + k * 2) -40 = -42 + -36k + (2 + 2k) Reorder the terms: -40 = -42 + 2 + -36k + 2k Combine like terms: -42 + 2 = -40 -40 = -40 + -36k + 2k Combine like terms: -36k + 2k = -34k -40 = -40 + -34k Add '40' to each side of the equation. -40 + 40 = -40 + 40 + -34k Combine like terms: -40 + 40 = 0 0 = -40 + 40 + -34k Combine like terms: -40 + 40 = 0 0 = 0 + -34k 0 = -34k Solving 0 = -34k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '34k' to each side of the equation. 0 + 34k = -34k + 34k Remove the zero: 34k = -34k + 34k Combine like terms: -34k + 34k = 0 34k = 0 Divide each side by '34'. k = 0 Simplifying k = 0
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