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Simplifying 103 = -5 + -3(4 + -5k) 103 = -5 + (4 * -3 + -5k * -3) 103 = -5 + (-12 + 15k) Combine like terms: -5 + -12 = -17 103 = -17 + 15k Solving 103 = -17 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 103 + -15k = -17 + 15k + -15k Combine like terms: 15k + -15k = 0 103 + -15k = -17 + 0 103 + -15k = -17 Add '-103' to each side of the equation. 103 + -103 + -15k = -17 + -103 Combine like terms: 103 + -103 = 0 0 + -15k = -17 + -103 -15k = -17 + -103 Combine like terms: -17 + -103 = -120 -15k = -120 Divide each side by '-15'. k = 8 Simplifying k = 8
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