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Simplifying 5k + -33 = 6(5k + 7) Reorder the terms: -33 + 5k = 6(5k + 7) Reorder the terms: -33 + 5k = 6(7 + 5k) -33 + 5k = (7 * 6 + 5k * 6) -33 + 5k = (42 + 30k) Solving -33 + 5k = 42 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -33 + 5k + -30k = 42 + 30k + -30k Combine like terms: 5k + -30k = -25k -33 + -25k = 42 + 30k + -30k Combine like terms: 30k + -30k = 0 -33 + -25k = 42 + 0 -33 + -25k = 42 Add '33' to each side of the equation. -33 + 33 + -25k = 42 + 33 Combine like terms: -33 + 33 = 0 0 + -25k = 42 + 33 -25k = 42 + 33 Combine like terms: 42 + 33 = 75 -25k = 75 Divide each side by '-25'. k = -3 Simplifying k = -3
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