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Simplifying 4t + 8 = 10t + -12 Reorder the terms: 8 + 4t = 10t + -12 Reorder the terms: 8 + 4t = -12 + 10t Solving 8 + 4t = -12 + 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. 8 + 4t + -10t = -12 + 10t + -10t Combine like terms: 4t + -10t = -6t 8 + -6t = -12 + 10t + -10t Combine like terms: 10t + -10t = 0 8 + -6t = -12 + 0 8 + -6t = -12 Add '-8' to each side of the equation. 8 + -8 + -6t = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = -12 + -8 -6t = -12 + -8 Combine like terms: -12 + -8 = -20 -6t = -20 Divide each side by '-6'. t = 3.333333333 Simplifying t = 3.333333333
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