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Simplifying 106.068 = 2.1(1 + 4.3k) + 4.65k 106.068 = (1 * 2.1 + 4.3k * 2.1) + 4.65k 106.068 = (2.1 + 9.03k) + 4.65k Combine like terms: 9.03k + 4.65k = 13.68k 106.068 = 2.1 + 13.68k Solving 106.068 = 2.1 + 13.68k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13.68k' to each side of the equation. 106.068 + -13.68k = 2.1 + 13.68k + -13.68k Combine like terms: 13.68k + -13.68k = 0.00 106.068 + -13.68k = 2.1 + 0.00 106.068 + -13.68k = 2.1 Add '-106.068' to each side of the equation. 106.068 + -106.068 + -13.68k = 2.1 + -106.068 Combine like terms: 106.068 + -106.068 = 0.000 0.000 + -13.68k = 2.1 + -106.068 -13.68k = 2.1 + -106.068 Combine like terms: 2.1 + -106.068 = -103.968 -13.68k = -103.968 Divide each side by '-13.68'. k = 7.6 Simplifying k = 7.6
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