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Simplifying (3 * -15) + 20 = (4 * -15) + k Multiply 3 * -15 (-45) + 20 = (4 * -15) + k -45 + 20 = (4 * -15) + k Combine like terms: -45 + 20 = -25 -25 = (4 * -15) + k Multiply 4 * -15 -25 = (-60) + k -25 = -60 + k Solving -25 = -60 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -25 + -1k = -60 + k + -1k Combine like terms: k + -1k = 0 -25 + -1k = -60 + 0 -25 + -1k = -60 Add '25' to each side of the equation. -25 + 25 + -1k = -60 + 25 Combine like terms: -25 + 25 = 0 0 + -1k = -60 + 25 -1k = -60 + 25 Combine like terms: -60 + 25 = -35 -1k = -35 Divide each side by '-1'. k = 35 Simplifying k = 35
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