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