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Simplifying 4k + -7(4k + 3) = -189 Reorder the terms: 4k + -7(3 + 4k) = -189 4k + (3 * -7 + 4k * -7) = -189 4k + (-21 + -28k) = -189 Reorder the terms: -21 + 4k + -28k = -189 Combine like terms: 4k + -28k = -24k -21 + -24k = -189 Solving -21 + -24k = -189 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -24k = -189 + 21 Combine like terms: -21 + 21 = 0 0 + -24k = -189 + 21 -24k = -189 + 21 Combine like terms: -189 + 21 = -168 -24k = -168 Divide each side by '-24'. k = 7 Simplifying k = 7
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