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Simplifying -3t + (2 + t) + 6 = 2t + 4 Remove parenthesis around (2 + t) -3t + 2 + t + 6 = 2t + 4 Reorder the terms: 2 + 6 + -3t + t = 2t + 4 Combine like terms: 2 + 6 = 8 8 + -3t + t = 2t + 4 Combine like terms: -3t + t = -2t 8 + -2t = 2t + 4 Reorder the terms: 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 = -4 -4t = -4 Divide each side by '-4'. t = 1 Simplifying t = 1
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