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Simplifying 6(2k + -8) + -10 = -12(2k + -3) + 3k Reorder the terms: 6(-8 + 2k) + -10 = -12(2k + -3) + 3k (-8 * 6 + 2k * 6) + -10 = -12(2k + -3) + 3k (-48 + 12k) + -10 = -12(2k + -3) + 3k Reorder the terms: -48 + -10 + 12k = -12(2k + -3) + 3k Combine like terms: -48 + -10 = -58 -58 + 12k = -12(2k + -3) + 3k Reorder the terms: -58 + 12k = -12(-3 + 2k) + 3k -58 + 12k = (-3 * -12 + 2k * -12) + 3k -58 + 12k = (36 + -24k) + 3k Combine like terms: -24k + 3k = -21k -58 + 12k = 36 + -21k Solving -58 + 12k = 36 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -58 + 12k + 21k = 36 + -21k + 21k Combine like terms: 12k + 21k = 33k -58 + 33k = 36 + -21k + 21k Combine like terms: -21k + 21k = 0 -58 + 33k = 36 + 0 -58 + 33k = 36 Add '58' to each side of the equation. -58 + 58 + 33k = 36 + 58 Combine like terms: -58 + 58 = 0 0 + 33k = 36 + 58 33k = 36 + 58 Combine like terms: 36 + 58 = 94 33k = 94 Divide each side by '33'. k = 2.848484848 Simplifying k = 2.848484848
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