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Simplifying 8(-1t + 1) = 4(5t + 5) Reorder the terms: 8(1 + -1t) = 4(5t + 5) (1 * 8 + -1t * 8) = 4(5t + 5) (8 + -8t) = 4(5t + 5) Reorder the terms: 8 + -8t = 4(5 + 5t) 8 + -8t = (5 * 4 + 5t * 4) 8 + -8t = (20 + 20t) Solving 8 + -8t = 20 + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. 8 + -8t + -20t = 20 + 20t + -20t Combine like terms: -8t + -20t = -28t 8 + -28t = 20 + 20t + -20t Combine like terms: 20t + -20t = 0 8 + -28t = 20 + 0 8 + -28t = 20 Add '-8' to each side of the equation. 8 + -8 + -28t = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -28t = 20 + -8 -28t = 20 + -8 Combine like terms: 20 + -8 = 12 -28t = 12 Divide each side by '-28'. t = -0.4285714286 Simplifying t = -0.4285714286
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