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Simplifying -12 + -16k = 6(1 + 4k) -12 + -16k = (1 * 6 + 4k * 6) -12 + -16k = (6 + 24k) Solving -12 + -16k = 6 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -12 + -16k + -24k = 6 + 24k + -24k Combine like terms: -16k + -24k = -40k -12 + -40k = 6 + 24k + -24k Combine like terms: 24k + -24k = 0 -12 + -40k = 6 + 0 -12 + -40k = 6 Add '12' to each side of the equation. -12 + 12 + -40k = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -40k = 6 + 12 -40k = 6 + 12 Combine like terms: 6 + 12 = 18 -40k = 18 Divide each side by '-40'. k = -0.45 Simplifying k = -0.45
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