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Simplifying 7k + -16 = 8(k + -3) Reorder the terms: -16 + 7k = 8(k + -3) Reorder the terms: -16 + 7k = 8(-3 + k) -16 + 7k = (-3 * 8 + k * 8) -16 + 7k = (-24 + 8k) Solving -16 + 7k = -24 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -16 + 7k + -8k = -24 + 8k + -8k Combine like terms: 7k + -8k = -1k -16 + -1k = -24 + 8k + -8k Combine like terms: 8k + -8k = 0 -16 + -1k = -24 + 0 -16 + -1k = -24 Add '16' to each side of the equation. -16 + 16 + -1k = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -1k = -24 + 16 -1k = -24 + 16 Combine like terms: -24 + 16 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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