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Simplifying 5t + -1(t + -8) = 3t + -3 Reorder the terms: 5t + -1(-8 + t) = 3t + -3 5t + (-8 * -1 + t * -1) = 3t + -3 5t + (8 + -1t) = 3t + -3 Reorder the terms: 8 + 5t + -1t = 3t + -3 Combine like terms: 5t + -1t = 4t 8 + 4t = 3t + -3 Reorder the terms: 8 + 4t = -3 + 3t Solving 8 + 4t = -3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 8 + 4t + -3t = -3 + 3t + -3t Combine like terms: 4t + -3t = 1t 8 + 1t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + 1t = -3 + 0 8 + 1t = -3 Add '-8' to each side of the equation. 8 + -8 + 1t = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 1t = -3 + -8 1t = -3 + -8 Combine like terms: -3 + -8 = -11 1t = -11 Divide each side by '1'. t = -11 Simplifying t = -11
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