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Simplifying -37 + -8k = -7 + -3(-6 + 8k) -37 + -8k = -7 + (-6 * -3 + 8k * -3) -37 + -8k = -7 + (18 + -24k) Combine like terms: -7 + 18 = 11 -37 + -8k = 11 + -24k Solving -37 + -8k = 11 + -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. -37 + -8k + 24k = 11 + -24k + 24k Combine like terms: -8k + 24k = 16k -37 + 16k = 11 + -24k + 24k Combine like terms: -24k + 24k = 0 -37 + 16k = 11 + 0 -37 + 16k = 11 Add '37' to each side of the equation. -37 + 37 + 16k = 11 + 37 Combine like terms: -37 + 37 = 0 0 + 16k = 11 + 37 16k = 11 + 37 Combine like terms: 11 + 37 = 48 16k = 48 Divide each side by '16'. k = 3 Simplifying k = 3
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