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Simplifying 5(k + -15) + -5 = -1(3 + -7k) + 63 Reorder the terms: 5(-15 + k) + -5 = -1(3 + -7k) + 63 (-15 * 5 + k * 5) + -5 = -1(3 + -7k) + 63 (-75 + 5k) + -5 = -1(3 + -7k) + 63 Reorder the terms: -75 + -5 + 5k = -1(3 + -7k) + 63 Combine like terms: -75 + -5 = -80 -80 + 5k = -1(3 + -7k) + 63 -80 + 5k = (3 * -1 + -7k * -1) + 63 -80 + 5k = (-3 + 7k) + 63 Reorder the terms: -80 + 5k = -3 + 63 + 7k Combine like terms: -3 + 63 = 60 -80 + 5k = 60 + 7k Solving -80 + 5k = 60 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -80 + 5k + -7k = 60 + 7k + -7k Combine like terms: 5k + -7k = -2k -80 + -2k = 60 + 7k + -7k Combine like terms: 7k + -7k = 0 -80 + -2k = 60 + 0 -80 + -2k = 60 Add '80' to each side of the equation. -80 + 80 + -2k = 60 + 80 Combine like terms: -80 + 80 = 0 0 + -2k = 60 + 80 -2k = 60 + 80 Combine like terms: 60 + 80 = 140 -2k = 140 Divide each side by '-2'. k = -70 Simplifying k = -70
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