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Simplifying 103 = -7 + 5(4 + -6k) 103 = -7 + (4 * 5 + -6k * 5) 103 = -7 + (20 + -30k) Combine like terms: -7 + 20 = 13 103 = 13 + -30k Solving 103 = 13 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 103 + 30k = 13 + -30k + 30k Combine like terms: -30k + 30k = 0 103 + 30k = 13 + 0 103 + 30k = 13 Add '-103' to each side of the equation. 103 + -103 + 30k = 13 + -103 Combine like terms: 103 + -103 = 0 0 + 30k = 13 + -103 30k = 13 + -103 Combine like terms: 13 + -103 = -90 30k = -90 Divide each side by '30'. k = -3 Simplifying k = -3
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