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Simplifying 2k + -36 = 4(6k + 2) Reorder the terms: -36 + 2k = 4(6k + 2) Reorder the terms: -36 + 2k = 4(2 + 6k) -36 + 2k = (2 * 4 + 6k * 4) -36 + 2k = (8 + 24k) Solving -36 + 2k = 8 + 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. -36 + 2k + -24k = 8 + 24k + -24k Combine like terms: 2k + -24k = -22k -36 + -22k = 8 + 24k + -24k Combine like terms: 24k + -24k = 0 -36 + -22k = 8 + 0 -36 + -22k = 8 Add '36' to each side of the equation. -36 + 36 + -22k = 8 + 36 Combine like terms: -36 + 36 = 0 0 + -22k = 8 + 36 -22k = 8 + 36 Combine like terms: 8 + 36 = 44 -22k = 44 Divide each side by '-22'. k = -2 Simplifying k = -2
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