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Simplifying 33k + -7(k + 9) = 4(k + -55) + -8 Reorder the terms: 33k + -7(9 + k) = 4(k + -55) + -8 33k + (9 * -7 + k * -7) = 4(k + -55) + -8 33k + (-63 + -7k) = 4(k + -55) + -8 Reorder the terms: -63 + 33k + -7k = 4(k + -55) + -8 Combine like terms: 33k + -7k = 26k -63 + 26k = 4(k + -55) + -8 Reorder the terms: -63 + 26k = 4(-55 + k) + -8 -63 + 26k = (-55 * 4 + k * 4) + -8 -63 + 26k = (-220 + 4k) + -8 Reorder the terms: -63 + 26k = -220 + -8 + 4k Combine like terms: -220 + -8 = -228 -63 + 26k = -228 + 4k Solving -63 + 26k = -228 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -63 + 26k + -4k = -228 + 4k + -4k Combine like terms: 26k + -4k = 22k -63 + 22k = -228 + 4k + -4k Combine like terms: 4k + -4k = 0 -63 + 22k = -228 + 0 -63 + 22k = -228 Add '63' to each side of the equation. -63 + 63 + 22k = -228 + 63 Combine like terms: -63 + 63 = 0 0 + 22k = -228 + 63 22k = -228 + 63 Combine like terms: -228 + 63 = -165 22k = -165 Divide each side by '22'. k = -7.5 Simplifying k = -7.5
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