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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 = -2t 8 + -2t = 4 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -2t = 4 + 0 8 + -2t = 4 Add '-8' to each side of the equation. 8 + -8 + -2t = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = 4 + -8 -2t = 4 + -8 Combine like terms: 4 + -8 = -4 -2t = -4 Divide each side by '-2'. t = 2 Simplifying t = 2
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