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Simplifying 10(4k + 6t + 3) = 0 Reorder the terms: 10(3 + 4k + 6t) = 0 (3 * 10 + 4k * 10 + 6t * 10) = 0 (30 + 40k + 60t) = 0 Solving 30 + 40k + 60t = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 40k + -30 + 60t = 0 + -30 Reorder the terms: 30 + -30 + 40k + 60t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 40k + 60t = 0 + -30 40k + 60t = 0 + -30 Combine like terms: 0 + -30 = -30 40k + 60t = -30 Add '-60t' to each side of the equation. 40k + 60t + -60t = -30 + -60t Combine like terms: 60t + -60t = 0 40k + 0 = -30 + -60t 40k = -30 + -60t Divide each side by '40'. k = -0.75 + -1.5t Simplifying k = -0.75 + -1.5t
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