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Simplifying 6(5k + -8) + -20 = 11(2k + -3) * 3 + k Reorder the terms: 6(-8 + 5k) + -20 = 11(2k + -3) * 3 + k (-8 * 6 + 5k * 6) + -20 = 11(2k + -3) * 3 + k (-48 + 30k) + -20 = 11(2k + -3) * 3 + k Reorder the terms: -48 + -20 + 30k = 11(2k + -3) * 3 + k Combine like terms: -48 + -20 = -68 -68 + 30k = 11(2k + -3) * 3 + k Reorder the terms: -68 + 30k = 11(-3 + 2k) * 3 + k Reorder the terms for easier multiplication: -68 + 30k = 11 * 3(-3 + 2k) + k Multiply 11 * 3 -68 + 30k = 33(-3 + 2k) + k -68 + 30k = (-3 * 33 + 2k * 33) + k -68 + 30k = (-99 + 66k) + k Combine like terms: 66k + k = 67k -68 + 30k = -99 + 67k Solving -68 + 30k = -99 + 67k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-67k' to each side of the equation. -68 + 30k + -67k = -99 + 67k + -67k Combine like terms: 30k + -67k = -37k -68 + -37k = -99 + 67k + -67k Combine like terms: 67k + -67k = 0 -68 + -37k = -99 + 0 -68 + -37k = -99 Add '68' to each side of the equation. -68 + 68 + -37k = -99 + 68 Combine like terms: -68 + 68 = 0 0 + -37k = -99 + 68 -37k = -99 + 68 Combine like terms: -99 + 68 = -31 -37k = -31 Divide each side by '-37'. k = 0.8378378378 Simplifying k = 0.8378378378
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