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Simplifying 3(6k + -16) = 2k + 8(k + 6) Reorder the terms: 3(-16 + 6k) = 2k + 8(k + 6) (-16 * 3 + 6k * 3) = 2k + 8(k + 6) (-48 + 18k) = 2k + 8(k + 6) Reorder the terms: -48 + 18k = 2k + 8(6 + k) -48 + 18k = 2k + (6 * 8 + k * 8) -48 + 18k = 2k + (48 + 8k) Reorder the terms: -48 + 18k = 48 + 2k + 8k Combine like terms: 2k + 8k = 10k -48 + 18k = 48 + 10k Solving -48 + 18k = 48 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -48 + 18k + -10k = 48 + 10k + -10k Combine like terms: 18k + -10k = 8k -48 + 8k = 48 + 10k + -10k Combine like terms: 10k + -10k = 0 -48 + 8k = 48 + 0 -48 + 8k = 48 Add '48' to each side of the equation. -48 + 48 + 8k = 48 + 48 Combine like terms: -48 + 48 = 0 0 + 8k = 48 + 48 8k = 48 + 48 Combine like terms: 48 + 48 = 96 8k = 96 Divide each side by '8'. k = 12 Simplifying k = 12
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