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Simplifying 1 + -4(5k + 4) = -175 Reorder the terms: 1 + -4(4 + 5k) = -175 1 + (4 * -4 + 5k * -4) = -175 1 + (-16 + -20k) = -175 Combine like terms: 1 + -16 = -15 -15 + -20k = -175 Solving -15 + -20k = -175 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 + -20k = -175 + 15 Combine like terms: -15 + 15 = 0 0 + -20k = -175 + 15 -20k = -175 + 15 Combine like terms: -175 + 15 = -160 -20k = -160 Divide each side by '-20'. k = 8 Simplifying k = 8
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