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Simplifying 8(5k + -4) + 3(-8k + -6) = 30 Reorder the terms: 8(-4 + 5k) + 3(-8k + -6) = 30 (-4 * 8 + 5k * 8) + 3(-8k + -6) = 30 (-32 + 40k) + 3(-8k + -6) = 30 Reorder the terms: -32 + 40k + 3(-6 + -8k) = 30 -32 + 40k + (-6 * 3 + -8k * 3) = 30 -32 + 40k + (-18 + -24k) = 30 Reorder the terms: -32 + -18 + 40k + -24k = 30 Combine like terms: -32 + -18 = -50 -50 + 40k + -24k = 30 Combine like terms: 40k + -24k = 16k -50 + 16k = 30 Solving -50 + 16k = 30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 16k = 30 + 50 Combine like terms: -50 + 50 = 0 0 + 16k = 30 + 50 16k = 30 + 50 Combine like terms: 30 + 50 = 80 16k = 80 Divide each side by '16'. k = 5 Simplifying k = 5
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