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Simplifying 2t + -9 = 3(t + 5) Reorder the terms: -9 + 2t = 3(t + 5) Reorder the terms: -9 + 2t = 3(5 + t) -9 + 2t = (5 * 3 + t * 3) -9 + 2t = (15 + 3t) Solving -9 + 2t = 15 + 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. -9 + 2t + -3t = 15 + 3t + -3t Combine like terms: 2t + -3t = -1t -9 + -1t = 15 + 3t + -3t Combine like terms: 3t + -3t = 0 -9 + -1t = 15 + 0 -9 + -1t = 15 Add '9' to each side of the equation. -9 + 9 + -1t = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -1t = 15 + 9 -1t = 15 + 9 Combine like terms: 15 + 9 = 24 -1t = 24 Divide each side by '-1'. t = -24 Simplifying t = -24
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