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Simplifying 6(5k + -8) = 99 + -7(3 + -4x) Reorder the terms: 6(-8 + 5k) = 99 + -7(3 + -4x) (-8 * 6 + 5k * 6) = 99 + -7(3 + -4x) (-48 + 30k) = 99 + -7(3 + -4x) -48 + 30k = 99 + (3 * -7 + -4x * -7) -48 + 30k = 99 + (-21 + 28x) Combine like terms: 99 + -21 = 78 -48 + 30k = 78 + 28x Solving -48 + 30k = 78 + 28x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 30k = 78 + 48 + 28x Combine like terms: -48 + 48 = 0 0 + 30k = 78 + 48 + 28x 30k = 78 + 48 + 28x Combine like terms: 78 + 48 = 126 30k = 126 + 28x Divide each side by '30'. k = 4.2 + 0.9333333333x Simplifying k = 4.2 + 0.9333333333x
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