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Simplifying -162 = -5(-5k + 3) + 3 Reorder the terms: -162 = -5(3 + -5k) + 3 -162 = (3 * -5 + -5k * -5) + 3 -162 = (-15 + 25k) + 3 Reorder the terms: -162 = -15 + 3 + 25k Combine like terms: -15 + 3 = -12 -162 = -12 + 25k Solving -162 = -12 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. -162 + -25k = -12 + 25k + -25k Combine like terms: 25k + -25k = 0 -162 + -25k = -12 + 0 -162 + -25k = -12 Add '162' to each side of the equation. -162 + 162 + -25k = -12 + 162 Combine like terms: -162 + 162 = 0 0 + -25k = -12 + 162 -25k = -12 + 162 Combine like terms: -12 + 162 = 150 -25k = 150 Divide each side by '-25'. k = -6 Simplifying k = -6
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