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Simplifying 8k + -2 = -4 + 5(5k + -3) Reorder the terms: -2 + 8k = -4 + 5(5k + -3) Reorder the terms: -2 + 8k = -4 + 5(-3 + 5k) -2 + 8k = -4 + (-3 * 5 + 5k * 5) -2 + 8k = -4 + (-15 + 25k) Combine like terms: -4 + -15 = -19 -2 + 8k = -19 + 25k Solving -2 + 8k = -19 + 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. -2 + 8k + -25k = -19 + 25k + -25k Combine like terms: 8k + -25k = -17k -2 + -17k = -19 + 25k + -25k Combine like terms: 25k + -25k = 0 -2 + -17k = -19 + 0 -2 + -17k = -19 Add '2' to each side of the equation. -2 + 2 + -17k = -19 + 2 Combine like terms: -2 + 2 = 0 0 + -17k = -19 + 2 -17k = -19 + 2 Combine like terms: -19 + 2 = -17 -17k = -17 Divide each side by '-17'. k = 1 Simplifying k = 1
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