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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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