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Simplifying 3(t + -1) = 2(2t + -3) + 5 Reorder the terms: 3(-1 + t) = 2(2t + -3) + 5 (-1 * 3 + t * 3) = 2(2t + -3) + 5 (-3 + 3t) = 2(2t + -3) + 5 Reorder the terms: -3 + 3t = 2(-3 + 2t) + 5 -3 + 3t = (-3 * 2 + 2t * 2) + 5 -3 + 3t = (-6 + 4t) + 5 Reorder the terms: -3 + 3t = -6 + 5 + 4t Combine like terms: -6 + 5 = -1 -3 + 3t = -1 + 4t Solving -3 + 3t = -1 + 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. -3 + 3t + -4t = -1 + 4t + -4t Combine like terms: 3t + -4t = -1t -3 + -1t = -1 + 4t + -4t Combine like terms: 4t + -4t = 0 -3 + -1t = -1 + 0 -3 + -1t = -1 Add '3' to each side of the equation. -3 + 3 + -1t = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = -1 + 3 -1t = -1 + 3 Combine like terms: -1 + 3 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2
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