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Simplifying -4k + -3(5k + 5) = -129 Reorder the terms: -4k + -3(5 + 5k) = -129 -4k + (5 * -3 + 5k * -3) = -129 -4k + (-15 + -15k) = -129 Reorder the terms: -15 + -4k + -15k = -129 Combine like terms: -4k + -15k = -19k -15 + -19k = -129 Solving -15 + -19k = -129 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -19k = -129 + 15 Combine like terms: -15 + 15 = 0 0 + -19k = -129 + 15 -19k = -129 + 15 Combine like terms: -129 + 15 = -114 -19k = -114 Divide each side by '-19'. k = 6 Simplifying k = 6
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