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Simplifying 6 + -8 = 2(2t + 1) Combine like terms: 6 + -8 = -2 -2 = 2(2t + 1) Reorder the terms: -2 = 2(1 + 2t) -2 = (1 * 2 + 2t * 2) -2 = (2 + 4t) Solving -2 = 2 + 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. -2 + -4t = 2 + 4t + -4t Combine like terms: 4t + -4t = 0 -2 + -4t = 2 + 0 -2 + -4t = 2 Add '2' to each side of the equation. -2 + 2 + -4t = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -4t = 2 + 2 -4t = 2 + 2 Combine like terms: 2 + 2 = 4 -4t = 4 Divide each side by '-4'. t = -1 Simplifying t = -1
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