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Simplifying -7k + -8 = 4(-8 + -7k) + 3 Reorder the terms: -8 + -7k = 4(-8 + -7k) + 3 -8 + -7k = (-8 * 4 + -7k * 4) + 3 -8 + -7k = (-32 + -28k) + 3 Reorder the terms: -8 + -7k = -32 + 3 + -28k Combine like terms: -32 + 3 = -29 -8 + -7k = -29 + -28k Solving -8 + -7k = -29 + -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. -8 + -7k + 28k = -29 + -28k + 28k Combine like terms: -7k + 28k = 21k -8 + 21k = -29 + -28k + 28k Combine like terms: -28k + 28k = 0 -8 + 21k = -29 + 0 -8 + 21k = -29 Add '8' to each side of the equation. -8 + 8 + 21k = -29 + 8 Combine like terms: -8 + 8 = 0 0 + 21k = -29 + 8 21k = -29 + 8 Combine like terms: -29 + 8 = -21 21k = -21 Divide each side by '21'. k = -1 Simplifying k = -1
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