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Simplifying 4(2k + -7) + 3(k + -3) = 46 Reorder the terms: 4(-7 + 2k) + 3(k + -3) = 46 (-7 * 4 + 2k * 4) + 3(k + -3) = 46 (-28 + 8k) + 3(k + -3) = 46 Reorder the terms: -28 + 8k + 3(-3 + k) = 46 -28 + 8k + (-3 * 3 + k * 3) = 46 -28 + 8k + (-9 + 3k) = 46 Reorder the terms: -28 + -9 + 8k + 3k = 46 Combine like terms: -28 + -9 = -37 -37 + 8k + 3k = 46 Combine like terms: 8k + 3k = 11k -37 + 11k = 46 Solving -37 + 11k = 46 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 11k = 46 + 37 Combine like terms: -37 + 37 = 0 0 + 11k = 46 + 37 11k = 46 + 37 Combine like terms: 46 + 37 = 83 11k = 83 Divide each side by '11'. k = 7.545454545 Simplifying k = 7.545454545
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