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Simplifying -103 = -6(2 + -2k) + -7 -103 = (2 * -6 + -2k * -6) + -7 -103 = (-12 + 12k) + -7 Reorder the terms: -103 = -12 + -7 + 12k Combine like terms: -12 + -7 = -19 -103 = -19 + 12k Solving -103 = -19 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -103 + -12k = -19 + 12k + -12k Combine like terms: 12k + -12k = 0 -103 + -12k = -19 + 0 -103 + -12k = -19 Add '103' to each side of the equation. -103 + 103 + -12k = -19 + 103 Combine like terms: -103 + 103 = 0 0 + -12k = -19 + 103 -12k = -19 + 103 Combine like terms: -19 + 103 = 84 -12k = 84 Divide each side by '-12'. k = -7 Simplifying k = -7
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