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Simplifying 2t + -5 = 3(t + 4) Reorder the terms: -5 + 2t = 3(t + 4) Reorder the terms: -5 + 2t = 3(4 + t) -5 + 2t = (4 * 3 + t * 3) -5 + 2t = (12 + 3t) Solving -5 + 2t = 12 + 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. -5 + 2t + -3t = 12 + 3t + -3t Combine like terms: 2t + -3t = -1t -5 + -1t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 -5 + -1t = 12 + 0 -5 + -1t = 12 Add '5' to each side of the equation. -5 + 5 + -1t = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 12 + 5 -1t = 12 + 5 Combine like terms: 12 + 5 = 17 -1t = 17 Divide each side by '-1'. t = -17 Simplifying t = -17
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