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Simplifying 384 = 8(5t + -7) Reorder the terms: 384 = 8(-7 + 5t) 384 = (-7 * 8 + 5t * 8) 384 = (-56 + 40t) Solving 384 = -56 + 40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40t' to each side of the equation. 384 + -40t = -56 + 40t + -40t Combine like terms: 40t + -40t = 0 384 + -40t = -56 + 0 384 + -40t = -56 Add '-384' to each side of the equation. 384 + -384 + -40t = -56 + -384 Combine like terms: 384 + -384 = 0 0 + -40t = -56 + -384 -40t = -56 + -384 Combine like terms: -56 + -384 = -440 -40t = -440 Divide each side by '-40'. t = 11 Simplifying t = 11
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