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Simplifying 27 + -2 + 4(k + 3) = 8(-3k + -4) Reorder the terms: 27 + -2 + 4(3 + k) = 8(-3k + -4) 27 + -2 + (3 * 4 + k * 4) = 8(-3k + -4) 27 + -2 + (12 + 4k) = 8(-3k + -4) Combine like terms: 27 + -2 = 25 25 + 12 + 4k = 8(-3k + -4) Combine like terms: 25 + 12 = 37 37 + 4k = 8(-3k + -4) Reorder the terms: 37 + 4k = 8(-4 + -3k) 37 + 4k = (-4 * 8 + -3k * 8) 37 + 4k = (-32 + -24k) Solving 37 + 4k = -32 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 37 + 4k + 24k = -32 + -24k + 24k Combine like terms: 4k + 24k = 28k 37 + 28k = -32 + -24k + 24k Combine like terms: -24k + 24k = 0 37 + 28k = -32 + 0 37 + 28k = -32 Add '-37' to each side of the equation. 37 + -37 + 28k = -32 + -37 Combine like terms: 37 + -37 = 0 0 + 28k = -32 + -37 28k = -32 + -37 Combine like terms: -32 + -37 = -69 28k = -69 Divide each side by '28'. k = -2.464285714 Simplifying k = -2.464285714
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