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Simplifying -165 = -5 + 8(4k + 4) Reorder the terms: -165 = -5 + 8(4 + 4k) -165 = -5 + (4 * 8 + 4k * 8) -165 = -5 + (32 + 32k) Combine like terms: -5 + 32 = 27 -165 = 27 + 32k Solving -165 = 27 + 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. -165 + -32k = 27 + 32k + -32k Combine like terms: 32k + -32k = 0 -165 + -32k = 27 + 0 -165 + -32k = 27 Add '165' to each side of the equation. -165 + 165 + -32k = 27 + 165 Combine like terms: -165 + 165 = 0 0 + -32k = 27 + 165 -32k = 27 + 165 Combine like terms: 27 + 165 = 192 -32k = 192 Divide each side by '-32'. k = -6 Simplifying k = -6
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