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Simplifying -105 = -7(2k + 1) Reorder the terms: -105 = -7(1 + 2k) -105 = (1 * -7 + 2k * -7) -105 = (-7 + -14k) Solving -105 = -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. -105 + 14k = -7 + -14k + 14k Combine like terms: -14k + 14k = 0 -105 + 14k = -7 + 0 -105 + 14k = -7 Add '105' to each side of the equation. -105 + 105 + 14k = -7 + 105 Combine like terms: -105 + 105 = 0 0 + 14k = -7 + 105 14k = -7 + 105 Combine like terms: -7 + 105 = 98 14k = 98 Divide each side by '14'. k = 7 Simplifying k = 7
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