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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 = -12 6t = -12 Divide each side by '6'. t = -2 Simplifying t = -2
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