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Simplifying -8k + -37 = -7(1 + 2k) Reorder the terms: -37 + -8k = -7(1 + 2k) -37 + -8k = (1 * -7 + 2k * -7) -37 + -8k = (-7 + -14k) Solving -37 + -8k = -7 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -37 + -8k + 14k = -7 + -14k + 14k Combine like terms: -8k + 14k = 6k -37 + 6k = -7 + -14k + 14k Combine like terms: -14k + 14k = 0 -37 + 6k = -7 + 0 -37 + 6k = -7 Add '37' to each side of the equation. -37 + 37 + 6k = -7 + 37 Combine like terms: -37 + 37 = 0 0 + 6k = -7 + 37 6k = -7 + 37 Combine like terms: -7 + 37 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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