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Simplifying -40 = -10(k + 7) Reorder the terms: -40 = -10(7 + k) -40 = (7 * -10 + k * -10) -40 = (-70 + -10k) Solving -40 = -70 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -40 + 10k = -70 + -10k + 10k Combine like terms: -10k + 10k = 0 -40 + 10k = -70 + 0 -40 + 10k = -70 Add '40' to each side of the equation. -40 + 40 + 10k = -70 + 40 Combine like terms: -40 + 40 = 0 0 + 10k = -70 + 40 10k = -70 + 40 Combine like terms: -70 + 40 = -30 10k = -30 Divide each side by '10'. k = -3 Simplifying k = -3
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