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Simplifying 6t + 13 = 7t + 12 Reorder the terms: 13 + 6t = 7t + 12 Reorder the terms: 13 + 6t = 12 + 7t Solving 13 + 6t = 12 + 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. 13 + 6t + -7t = 12 + 7t + -7t Combine like terms: 6t + -7t = -1t 13 + -1t = 12 + 7t + -7t Combine like terms: 7t + -7t = 0 13 + -1t = 12 + 0 13 + -1t = 12 Add '-13' to each side of the equation. 13 + -13 + -1t = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -1t = 12 + -13 -1t = 12 + -13 Combine like terms: 12 + -13 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1
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