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Simplifying 3(5k + -3) = -7(-5k + 7) Reorder the terms: 3(-3 + 5k) = -7(-5k + 7) (-3 * 3 + 5k * 3) = -7(-5k + 7) (-9 + 15k) = -7(-5k + 7) Reorder the terms: -9 + 15k = -7(7 + -5k) -9 + 15k = (7 * -7 + -5k * -7) -9 + 15k = (-49 + 35k) Solving -9 + 15k = -49 + 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. -9 + 15k + -35k = -49 + 35k + -35k Combine like terms: 15k + -35k = -20k -9 + -20k = -49 + 35k + -35k Combine like terms: 35k + -35k = 0 -9 + -20k = -49 + 0 -9 + -20k = -49 Add '9' to each side of the equation. -9 + 9 + -20k = -49 + 9 Combine like terms: -9 + 9 = 0 0 + -20k = -49 + 9 -20k = -49 + 9 Combine like terms: -49 + 9 = -40 -20k = -40 Divide each side by '-20'. k = 2 Simplifying k = 2
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