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Simplifying 384 = 12(-8 + 5t) 384 = (-8 * 12 + 5t * 12) 384 = (-96 + 60t) Solving 384 = -96 + 60t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-60t' to each side of the equation. 384 + -60t = -96 + 60t + -60t Combine like terms: 60t + -60t = 0 384 + -60t = -96 + 0 384 + -60t = -96 Add '-384' to each side of the equation. 384 + -384 + -60t = -96 + -384 Combine like terms: 384 + -384 = 0 0 + -60t = -96 + -384 -60t = -96 + -384 Combine like terms: -96 + -384 = -480 -60t = -480 Divide each side by '-60'. t = 8 Simplifying t = 8
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