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Simplifying -8 = 4k + 3(-7k + 1) Reorder the terms: -8 = 4k + 3(1 + -7k) -8 = 4k + (1 * 3 + -7k * 3) -8 = 4k + (3 + -21k) Reorder the terms: -8 = 3 + 4k + -21k Combine like terms: 4k + -21k = -17k -8 = 3 + -17k Solving -8 = 3 + -17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17k' to each side of the equation. -8 + 17k = 3 + -17k + 17k Combine like terms: -17k + 17k = 0 -8 + 17k = 3 + 0 -8 + 17k = 3 Add '8' to each side of the equation. -8 + 8 + 17k = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 17k = 3 + 8 17k = 3 + 8 Combine like terms: 3 + 8 = 11 17k = 11 Divide each side by '17'. k = 0.6470588235 Simplifying k = 0.6470588235
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