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Simplifying -5 + -9t = -8(-3t + -20) Reorder the terms: -5 + -9t = -8(-20 + -3t) -5 + -9t = (-20 * -8 + -3t * -8) -5 + -9t = (160 + 24t) Solving -5 + -9t = 160 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. -5 + -9t + -24t = 160 + 24t + -24t Combine like terms: -9t + -24t = -33t -5 + -33t = 160 + 24t + -24t Combine like terms: 24t + -24t = 0 -5 + -33t = 160 + 0 -5 + -33t = 160 Add '5' to each side of the equation. -5 + 5 + -33t = 160 + 5 Combine like terms: -5 + 5 = 0 0 + -33t = 160 + 5 -33t = 160 + 5 Combine like terms: 160 + 5 = 165 -33t = 165 Divide each side by '-33'. t = -5 Simplifying t = -5
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