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Simplifying -35 + -6k = 4(8k + -3) Reorder the terms: -35 + -6k = 4(-3 + 8k) -35 + -6k = (-3 * 4 + 8k * 4) -35 + -6k = (-12 + 32k) Solving -35 + -6k = -12 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. -35 + -6k + -32k = -12 + 32k + -32k Combine like terms: -6k + -32k = -38k -35 + -38k = -12 + 32k + -32k Combine like terms: 32k + -32k = 0 -35 + -38k = -12 + 0 -35 + -38k = -12 Add '35' to each side of the equation. -35 + 35 + -38k = -12 + 35 Combine like terms: -35 + 35 = 0 0 + -38k = -12 + 35 -38k = -12 + 35 Combine like terms: -12 + 35 = 23 -38k = 23 Divide each side by '-38'. k = -0.6052631579 Simplifying k = -0.6052631579
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