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Simplifying 12(2k + 11) = -12(2k + 12) Reorder the terms: 12(11 + 2k) = -12(2k + 12) (11 * 12 + 2k * 12) = -12(2k + 12) (132 + 24k) = -12(2k + 12) Reorder the terms: 132 + 24k = -12(12 + 2k) 132 + 24k = (12 * -12 + 2k * -12) 132 + 24k = (-144 + -24k) Solving 132 + 24k = -144 + -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. 132 + 24k + 24k = -144 + -24k + 24k Combine like terms: 24k + 24k = 48k 132 + 48k = -144 + -24k + 24k Combine like terms: -24k + 24k = 0 132 + 48k = -144 + 0 132 + 48k = -144 Add '-132' to each side of the equation. 132 + -132 + 48k = -144 + -132 Combine like terms: 132 + -132 = 0 0 + 48k = -144 + -132 48k = -144 + -132 Combine like terms: -144 + -132 = -276 48k = -276 Divide each side by '48'. k = -5.75 Simplifying k = -5.75
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