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Simplifying 2t + 8 = -4(t + -1) Reorder the terms: 8 + 2t = -4(t + -1) Reorder the terms: 8 + 2t = -4(-1 + t) 8 + 2t = (-1 * -4 + t * -4) 8 + 2t = (4 + -4t) Solving 8 + 2t = 4 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 8 + 2t + 4t = 4 + -4t + 4t Combine like terms: 2t + 4t = 6t 8 + 6t = 4 + -4t + 4t Combine like terms: -4t + 4t = 0 8 + 6t = 4 + 0 8 + 6t = 4 Add '-8' to each side of the equation. 8 + -8 + 6t = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 6t = 4 + -8 6t = 4 + -8 Combine like terms: 4 + -8 = -4 6t = -4 Divide each side by '6'. t = -0.6666666667 Simplifying t = -0.6666666667
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