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Simplifying 4(t + 3) = 2t + 7 Reorder the terms: 4(3 + t) = 2t + 7 (3 * 4 + t * 4) = 2t + 7 (12 + 4t) = 2t + 7 Reorder the terms: 12 + 4t = 7 + 2t Solving 12 + 4t = 7 + 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. 12 + 4t + -2t = 7 + 2t + -2t Combine like terms: 4t + -2t = 2t 12 + 2t = 7 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + 2t = 7 + 0 12 + 2t = 7 Add '-12' to each side of the equation. 12 + -12 + 2t = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 2t = 7 + -12 2t = 7 + -12 Combine like terms: 7 + -12 = -5 2t = -5 Divide each side by '2'. t = -2.5 Simplifying t = -2.5
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