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Simplifying 6(5k + -8) + -2 = 11(2k + -3) + 3k Reorder the terms: 6(-8 + 5k) + -2 = 11(2k + -3) + 3k (-8 * 6 + 5k * 6) + -2 = 11(2k + -3) + 3k (-48 + 30k) + -2 = 11(2k + -3) + 3k Reorder the terms: -48 + -2 + 30k = 11(2k + -3) + 3k Combine like terms: -48 + -2 = -50 -50 + 30k = 11(2k + -3) + 3k Reorder the terms: -50 + 30k = 11(-3 + 2k) + 3k -50 + 30k = (-3 * 11 + 2k * 11) + 3k -50 + 30k = (-33 + 22k) + 3k Combine like terms: 22k + 3k = 25k -50 + 30k = -33 + 25k Solving -50 + 30k = -33 + 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. -50 + 30k + -25k = -33 + 25k + -25k Combine like terms: 30k + -25k = 5k -50 + 5k = -33 + 25k + -25k Combine like terms: 25k + -25k = 0 -50 + 5k = -33 + 0 -50 + 5k = -33 Add '50' to each side of the equation. -50 + 50 + 5k = -33 + 50 Combine like terms: -50 + 50 = 0 0 + 5k = -33 + 50 5k = -33 + 50 Combine like terms: -33 + 50 = 17 5k = 17 Divide each side by '5'. k = 3.4 Simplifying k = 3.4
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