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Simplifying 2t + 10 = 3t + -5 Reorder the terms: 10 + 2t = 3t + -5 Reorder the terms: 10 + 2t = -5 + 3t Solving 10 + 2t = -5 + 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. 10 + 2t + -3t = -5 + 3t + -3t Combine like terms: 2t + -3t = -1t 10 + -1t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + -1t = -5 + 0 10 + -1t = -5 Add '-10' to each side of the equation. 10 + -10 + -1t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = -5 + -10 -1t = -5 + -10 Combine like terms: -5 + -10 = -15 -1t = -15 Divide each side by '-1'. t = 15 Simplifying t = 15
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