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Simplifying 10t + 13 = 6t + 10 Reorder the terms: 13 + 10t = 6t + 10 Reorder the terms: 13 + 10t = 10 + 6t Solving 13 + 10t = 10 + 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 + 10t + -6t = 10 + 6t + -6t Combine like terms: 10t + -6t = 4t 13 + 4t = 10 + 6t + -6t Combine like terms: 6t + -6t = 0 13 + 4t = 10 + 0 13 + 4t = 10 Add '-13' to each side of the equation. 13 + -13 + 4t = 10 + -13 Combine like terms: 13 + -13 = 0 0 + 4t = 10 + -13 4t = 10 + -13 Combine like terms: 10 + -13 = -3 4t = -3 Divide each side by '4'. t = -0.75 Simplifying t = -0.75
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