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Simplifying 5k + 4(k + -3) = 29 + -5 Reorder the terms: 5k + 4(-3 + k) = 29 + -5 5k + (-3 * 4 + k * 4) = 29 + -5 5k + (-12 + 4k) = 29 + -5 Reorder the terms: -12 + 5k + 4k = 29 + -5 Combine like terms: 5k + 4k = 9k -12 + 9k = 29 + -5 Combine like terms: 29 + -5 = 24 -12 + 9k = 24 Solving -12 + 9k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9k = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9k = 24 + 12 9k = 24 + 12 Combine like terms: 24 + 12 = 36 9k = 36 Divide each side by '9'. k = 4 Simplifying k = 4
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