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Simplifying -20 + -6k = -8(6k + -16) + 20 Reorder the terms: -20 + -6k = -8(-16 + 6k) + 20 -20 + -6k = (-16 * -8 + 6k * -8) + 20 -20 + -6k = (128 + -48k) + 20 Reorder the terms: -20 + -6k = 128 + 20 + -48k Combine like terms: 128 + 20 = 148 -20 + -6k = 148 + -48k Solving -20 + -6k = 148 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. -20 + -6k + 48k = 148 + -48k + 48k Combine like terms: -6k + 48k = 42k -20 + 42k = 148 + -48k + 48k Combine like terms: -48k + 48k = 0 -20 + 42k = 148 + 0 -20 + 42k = 148 Add '20' to each side of the equation. -20 + 20 + 42k = 148 + 20 Combine like terms: -20 + 20 = 0 0 + 42k = 148 + 20 42k = 148 + 20 Combine like terms: 148 + 20 = 168 42k = 168 Divide each side by '42'. k = 4 Simplifying k = 4
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