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Simplifying 3(5k) + 2 + k + (-4) = 30 Remove parenthesis around (5k) 3 * 5k + 2 + k + (-4) = 30 Multiply 3 * 5 15k + 2 + k + (-4) = 30 15k + 2 + k + -4 = 30 Reorder the terms: 2 + -4 + 15k + k = 30 Combine like terms: 2 + -4 = -2 -2 + 15k + k = 30 Combine like terms: 15k + k = 16k -2 + 16k = 30 Solving -2 + 16k = 30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 16k = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 16k = 30 + 2 16k = 30 + 2 Combine like terms: 30 + 2 = 32 16k = 32 Divide each side by '16'. k = 2 Simplifying k = 2
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