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Simplifying 4(-5k + -7) = 40 + -3k Reorder the terms: 4(-7 + -5k) = 40 + -3k (-7 * 4 + -5k * 4) = 40 + -3k (-28 + -20k) = 40 + -3k Solving -28 + -20k = 40 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -28 + -20k + 3k = 40 + -3k + 3k Combine like terms: -20k + 3k = -17k -28 + -17k = 40 + -3k + 3k Combine like terms: -3k + 3k = 0 -28 + -17k = 40 + 0 -28 + -17k = 40 Add '28' to each side of the equation. -28 + 28 + -17k = 40 + 28 Combine like terms: -28 + 28 = 0 0 + -17k = 40 + 28 -17k = 40 + 28 Combine like terms: 40 + 28 = 68 -17k = 68 Divide each side by '-17'. k = -4 Simplifying k = -4
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