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Simplifying 4k + -1.75 = -5(k + -0.75) Reorder the terms: -1.75 + 4k = -5(k + -0.75) Reorder the terms: -1.75 + 4k = -5(-0.75 + k) -1.75 + 4k = (-0.75 * -5 + k * -5) -1.75 + 4k = (3.75 + -5k) Solving -1.75 + 4k = 3.75 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -1.75 + 4k + 5k = 3.75 + -5k + 5k Combine like terms: 4k + 5k = 9k -1.75 + 9k = 3.75 + -5k + 5k Combine like terms: -5k + 5k = 0 -1.75 + 9k = 3.75 + 0 -1.75 + 9k = 3.75 Add '1.75' to each side of the equation. -1.75 + 1.75 + 9k = 3.75 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + 9k = 3.75 + 1.75 9k = 3.75 + 1.75 Combine like terms: 3.75 + 1.75 = 5.5 9k = 5.5 Divide each side by '9'. k = 0.6111111111 Simplifying k = 0.6111111111
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