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Simplifying 2(3t + -2) = 2(4t + 2) Reorder the terms: 2(-2 + 3t) = 2(4t + 2) (-2 * 2 + 3t * 2) = 2(4t + 2) (-4 + 6t) = 2(4t + 2) Reorder the terms: -4 + 6t = 2(2 + 4t) -4 + 6t = (2 * 2 + 4t * 2) -4 + 6t = (4 + 8t) Solving -4 + 6t = 4 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -4 + 6t + -8t = 4 + 8t + -8t Combine like terms: 6t + -8t = -2t -4 + -2t = 4 + 8t + -8t Combine like terms: 8t + -8t = 0 -4 + -2t = 4 + 0 -4 + -2t = 4 Add '4' to each side of the equation. -4 + 4 + -2t = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -2t = 4 + 4 -2t = 4 + 4 Combine like terms: 4 + 4 = 8 -2t = 8 Divide each side by '-2'. t = -4 Simplifying t = -4
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