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Simplifying 3t + 7 + -2(t + 3) = 4t + -7 Reorder the terms: 3t + 7 + -2(3 + t) = 4t + -7 3t + 7 + (3 * -2 + t * -2) = 4t + -7 3t + 7 + (-6 + -2t) = 4t + -7 Reorder the terms: 7 + -6 + 3t + -2t = 4t + -7 Combine like terms: 7 + -6 = 1 1 + 3t + -2t = 4t + -7 Combine like terms: 3t + -2t = 1t 1 + 1t = 4t + -7 Reorder the terms: 1 + 1t = -7 + 4t Solving 1 + 1t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 1 + 1t + -4t = -7 + 4t + -4t Combine like terms: 1t + -4t = -3t 1 + -3t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + -3t = -7 + 0 1 + -3t = -7 Add '-1' to each side of the equation. 1 + -1 + -3t = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = -7 + -1 -3t = -7 + -1 Combine like terms: -7 + -1 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667
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