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Simplifying -11(4k + -12) = -8(4k + 12) Reorder the terms: -11(-12 + 4k) = -8(4k + 12) (-12 * -11 + 4k * -11) = -8(4k + 12) (132 + -44k) = -8(4k + 12) Reorder the terms: 132 + -44k = -8(12 + 4k) 132 + -44k = (12 * -8 + 4k * -8) 132 + -44k = (-96 + -32k) Solving 132 + -44k = -96 + -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. 132 + -44k + 32k = -96 + -32k + 32k Combine like terms: -44k + 32k = -12k 132 + -12k = -96 + -32k + 32k Combine like terms: -32k + 32k = 0 132 + -12k = -96 + 0 132 + -12k = -96 Add '-132' to each side of the equation. 132 + -132 + -12k = -96 + -132 Combine like terms: 132 + -132 = 0 0 + -12k = -96 + -132 -12k = -96 + -132 Combine like terms: -96 + -132 = -228 -12k = -228 Divide each side by '-12'. k = 19 Simplifying k = 19
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