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Simplifying 6t + 15 = -7t + 80 Reorder the terms: 15 + 6t = -7t + 80 Reorder the terms: 15 + 6t = 80 + -7t Solving 15 + 6t = 80 + -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 + 6t + 7t = 80 + -7t + 7t Combine like terms: 6t + 7t = 13t 15 + 13t = 80 + -7t + 7t Combine like terms: -7t + 7t = 0 15 + 13t = 80 + 0 15 + 13t = 80 Add '-15' to each side of the equation. 15 + -15 + 13t = 80 + -15 Combine like terms: 15 + -15 = 0 0 + 13t = 80 + -15 13t = 80 + -15 Combine like terms: 80 + -15 = 65 13t = 65 Divide each side by '13'. t = 5 Simplifying t = 5
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