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Simplifying 2t + 8 = -2(t + 2) Reorder the terms: 8 + 2t = -2(t + 2) Reorder the terms: 8 + 2t = -2(2 + t) 8 + 2t = (2 * -2 + t * -2) 8 + 2t = (-4 + -2t) Solving 8 + 2t = -4 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 8 + 2t + 2t = -4 + -2t + 2t Combine like terms: 2t + 2t = 4t 8 + 4t = -4 + -2t + 2t Combine like terms: -2t + 2t = 0 8 + 4t = -4 + 0 8 + 4t = -4 Add '-8' to each side of the equation. 8 + -8 + 4t = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 4t = -4 + -8 4t = -4 + -8 Combine like terms: -4 + -8 = -12 4t = -12 Divide each side by '4'. t = -3 Simplifying t = -3
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