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Simplifying 2(t + -3) + 5 = 3(t + -1) Reorder the terms: 2(-3 + t) + 5 = 3(t + -1) (-3 * 2 + t * 2) + 5 = 3(t + -1) (-6 + 2t) + 5 = 3(t + -1) Reorder the terms: -6 + 5 + 2t = 3(t + -1) Combine like terms: -6 + 5 = -1 -1 + 2t = 3(t + -1) Reorder the terms: -1 + 2t = 3(-1 + t) -1 + 2t = (-1 * 3 + t * 3) -1 + 2t = (-3 + 3t) Solving -1 + 2t = -3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -1 + 2t + -3t = -3 + 3t + -3t Combine like terms: 2t + -3t = -1t -1 + -1t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 -1 + -1t = -3 + 0 -1 + -1t = -3 Add '1' to each side of the equation. -1 + 1 + -1t = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -1t = -3 + 1 -1t = -3 + 1 Combine like terms: -3 + 1 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2
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