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Simplifying 5t + 13 + -1t = 3 + 6t + -12 Reorder the terms: 13 + 5t + -1t = 3 + 6t + -12 Combine like terms: 5t + -1t = 4t 13 + 4t = 3 + 6t + -12 Reorder the terms: 13 + 4t = 3 + -12 + 6t Combine like terms: 3 + -12 = -9 13 + 4t = -9 + 6t Solving 13 + 4t = -9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 13 + 4t + -6t = -9 + 6t + -6t Combine like terms: 4t + -6t = -2t 13 + -2t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 13 + -2t = -9 + 0 13 + -2t = -9 Add '-13' to each side of the equation. 13 + -13 + -2t = -9 + -13 Combine like terms: 13 + -13 = 0 0 + -2t = -9 + -13 -2t = -9 + -13 Combine like terms: -9 + -13 = -22 -2t = -22 Divide each side by '-2'. t = 11 Simplifying t = 11
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