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Simplifying -5k + -5(k + 3) = -5k + -40 Reorder the terms: -5k + -5(3 + k) = -5k + -40 -5k + (3 * -5 + k * -5) = -5k + -40 -5k + (-15 + -5k) = -5k + -40 Reorder the terms: -15 + -5k + -5k = -5k + -40 Combine like terms: -5k + -5k = -10k -15 + -10k = -5k + -40 Reorder the terms: -15 + -10k = -40 + -5k Solving -15 + -10k = -40 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -15 + -10k + 5k = -40 + -5k + 5k Combine like terms: -10k + 5k = -5k -15 + -5k = -40 + -5k + 5k Combine like terms: -5k + 5k = 0 -15 + -5k = -40 + 0 -15 + -5k = -40 Add '15' to each side of the equation. -15 + 15 + -5k = -40 + 15 Combine like terms: -15 + 15 = 0 0 + -5k = -40 + 15 -5k = -40 + 15 Combine like terms: -40 + 15 = -25 -5k = -25 Divide each side by '-5'. k = 5 Simplifying k = 5
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