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Simplifying 7t + 15 = 13t + -9 Reorder the terms: 15 + 7t = 13t + -9 Reorder the terms: 15 + 7t = -9 + 13t Solving 15 + 7t = -9 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. 15 + 7t + -13t = -9 + 13t + -13t Combine like terms: 7t + -13t = -6t 15 + -6t = -9 + 13t + -13t Combine like terms: 13t + -13t = 0 15 + -6t = -9 + 0 15 + -6t = -9 Add '-15' to each side of the equation. 15 + -15 + -6t = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -6t = -9 + -15 -6t = -9 + -15 Combine like terms: -9 + -15 = -24 -6t = -24 Divide each side by '-6'. t = 4 Simplifying t = 4
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