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Simplifying 3(5k + -4) = 33 + 10k Reorder the terms: 3(-4 + 5k) = 33 + 10k (-4 * 3 + 5k * 3) = 33 + 10k (-12 + 15k) = 33 + 10k Solving -12 + 15k = 33 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -12 + 15k + -10k = 33 + 10k + -10k Combine like terms: 15k + -10k = 5k -12 + 5k = 33 + 10k + -10k Combine like terms: 10k + -10k = 0 -12 + 5k = 33 + 0 -12 + 5k = 33 Add '12' to each side of the equation. -12 + 12 + 5k = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = 33 + 12 5k = 33 + 12 Combine like terms: 33 + 12 = 45 5k = 45 Divide each side by '5'. k = 9 Simplifying k = 9
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