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Simplifying 3t + -4 = 7 + 2(t + 3) Reorder the terms: -4 + 3t = 7 + 2(t + 3) Reorder the terms: -4 + 3t = 7 + 2(3 + t) -4 + 3t = 7 + (3 * 2 + t * 2) -4 + 3t = 7 + (6 + 2t) Combine like terms: 7 + 6 = 13 -4 + 3t = 13 + 2t Solving -4 + 3t = 13 + 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. -4 + 3t + -2t = 13 + 2t + -2t Combine like terms: 3t + -2t = 1t -4 + 1t = 13 + 2t + -2t Combine like terms: 2t + -2t = 0 -4 + 1t = 13 + 0 -4 + 1t = 13 Add '4' to each side of the equation. -4 + 4 + 1t = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 1t = 13 + 4 1t = 13 + 4 Combine like terms: 13 + 4 = 17 1t = 17 Divide each side by '1'. t = 17 Simplifying t = 17
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