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Simplifying 12(2k + 11) = -12(2k + 11) Reorder the terms: 12(11 + 2k) = -12(2k + 11) (11 * 12 + 2k * 12) = -12(2k + 11) (132 + 24k) = -12(2k + 11) Reorder the terms: 132 + 24k = -12(11 + 2k) 132 + 24k = (11 * -12 + 2k * -12) 132 + 24k = (-132 + -24k) Solving 132 + 24k = -132 + -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 = -132 + -24k + 24k Combine like terms: 24k + 24k = 48k 132 + 48k = -132 + -24k + 24k Combine like terms: -24k + 24k = 0 132 + 48k = -132 + 0 132 + 48k = -132 Add '-132' to each side of the equation. 132 + -132 + 48k = -132 + -132 Combine like terms: 132 + -132 = 0 0 + 48k = -132 + -132 48k = -132 + -132 Combine like terms: -132 + -132 = -264 48k = -264 Divide each side by '48'. k = -5.5 Simplifying k = -5.5
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