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Simplifying 4t + -5 = 10t + 31 Reorder the terms: -5 + 4t = 10t + 31 Reorder the terms: -5 + 4t = 31 + 10t Solving -5 + 4t = 31 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -5 + 4t + -10t = 31 + 10t + -10t Combine like terms: 4t + -10t = -6t -5 + -6t = 31 + 10t + -10t Combine like terms: 10t + -10t = 0 -5 + -6t = 31 + 0 -5 + -6t = 31 Add '5' to each side of the equation. -5 + 5 + -6t = 31 + 5 Combine like terms: -5 + 5 = 0 0 + -6t = 31 + 5 -6t = 31 + 5 Combine like terms: 31 + 5 = 36 -6t = 36 Divide each side by '-6'. t = -6 Simplifying t = -6
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