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Simplifying 38 + -5k = 8 + 8(-4k + -3) Reorder the terms: 38 + -5k = 8 + 8(-3 + -4k) 38 + -5k = 8 + (-3 * 8 + -4k * 8) 38 + -5k = 8 + (-24 + -32k) Combine like terms: 8 + -24 = -16 38 + -5k = -16 + -32k Solving 38 + -5k = -16 + -32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32k' to each side of the equation. 38 + -5k + 32k = -16 + -32k + 32k Combine like terms: -5k + 32k = 27k 38 + 27k = -16 + -32k + 32k Combine like terms: -32k + 32k = 0 38 + 27k = -16 + 0 38 + 27k = -16 Add '-38' to each side of the equation. 38 + -38 + 27k = -16 + -38 Combine like terms: 38 + -38 = 0 0 + 27k = -16 + -38 27k = -16 + -38 Combine like terms: -16 + -38 = -54 27k = -54 Divide each side by '27'. k = -2 Simplifying k = -2
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