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Simplifying 2t + 3 = -1(2t + 4) Reorder the terms: 3 + 2t = -1(2t + 4) Reorder the terms: 3 + 2t = -1(4 + 2t) 3 + 2t = (4 * -1 + 2t * -1) 3 + 2t = (-4 + -2t) Solving 3 + 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. 3 + 2t + 2t = -4 + -2t + 2t Combine like terms: 2t + 2t = 4t 3 + 4t = -4 + -2t + 2t Combine like terms: -2t + 2t = 0 3 + 4t = -4 + 0 3 + 4t = -4 Add '-3' to each side of the equation. 3 + -3 + 4t = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 4t = -4 + -3 4t = -4 + -3 Combine like terms: -4 + -3 = -7 4t = -7 Divide each side by '4'. t = -1.75 Simplifying t = -1.75
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