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Simplifying 3 + 3 + 8(4 + -2k) + 8(4 + -2k) = 9 3 + 3 + (4 * 8 + -2k * 8) + 8(4 + -2k) = 9 3 + 3 + (32 + -16k) + 8(4 + -2k) = 9 3 + 3 + 32 + -16k + (4 * 8 + -2k * 8) = 9 3 + 3 + 32 + -16k + (32 + -16k) = 9 Reorder the terms: 3 + 3 + 32 + 32 + -16k + -16k = 9 Combine like terms: 3 + 3 = 6 6 + 32 + 32 + -16k + -16k = 9 Combine like terms: 6 + 32 = 38 38 + 32 + -16k + -16k = 9 Combine like terms: 38 + 32 = 70 70 + -16k + -16k = 9 Combine like terms: -16k + -16k = -32k 70 + -32k = 9 Solving 70 + -32k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -32k = 9 + -70 Combine like terms: 70 + -70 = 0 0 + -32k = 9 + -70 -32k = 9 + -70 Combine like terms: 9 + -70 = -61 -32k = -61 Divide each side by '-32'. k = 1.90625 Simplifying k = 1.90625
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