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Simplifying 4t + 35 = 10t + -37 Reorder the terms: 35 + 4t = 10t + -37 Reorder the terms: 35 + 4t = -37 + 10t Solving 35 + 4t = -37 + 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. 35 + 4t + -10t = -37 + 10t + -10t Combine like terms: 4t + -10t = -6t 35 + -6t = -37 + 10t + -10t Combine like terms: 10t + -10t = 0 35 + -6t = -37 + 0 35 + -6t = -37 Add '-35' to each side of the equation. 35 + -35 + -6t = -37 + -35 Combine like terms: 35 + -35 = 0 0 + -6t = -37 + -35 -6t = -37 + -35 Combine like terms: -37 + -35 = -72 -6t = -72 Divide each side by '-6'. t = 12 Simplifying t = 12
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