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Simplifying 4t + 5 + -3 = 6t + -13 Reorder the terms: 5 + -3 + 4t = 6t + -13 Combine like terms: 5 + -3 = 2 2 + 4t = 6t + -13 Reorder the terms: 2 + 4t = -13 + 6t Solving 2 + 4t = -13 + 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. 2 + 4t + -6t = -13 + 6t + -6t Combine like terms: 4t + -6t = -2t 2 + -2t = -13 + 6t + -6t Combine like terms: 6t + -6t = 0 2 + -2t = -13 + 0 2 + -2t = -13 Add '-2' to each side of the equation. 2 + -2 + -2t = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = -13 + -2 -2t = -13 + -2 Combine like terms: -13 + -2 = -15 -2t = -15 Divide each side by '-2'. t = 7.5 Simplifying t = 7.5
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