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Simplifying 3t + 15 = 7t + -13 Reorder the terms: 15 + 3t = 7t + -13 Reorder the terms: 15 + 3t = -13 + 7t Solving 15 + 3t = -13 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 15 + 3t + -7t = -13 + 7t + -7t Combine like terms: 3t + -7t = -4t 15 + -4t = -13 + 7t + -7t Combine like terms: 7t + -7t = 0 15 + -4t = -13 + 0 15 + -4t = -13 Add '-15' to each side of the equation. 15 + -15 + -4t = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -4t = -13 + -15 -4t = -13 + -15 Combine like terms: -13 + -15 = -28 -4t = -28 Divide each side by '-4'. t = 7 Simplifying t = 7
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