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Simplifying 4t + 7 + 2t = 6t + 4t + -9 Reorder the terms: 7 + 4t + 2t = 6t + 4t + -9 Combine like terms: 4t + 2t = 6t 7 + 6t = 6t + 4t + -9 Reorder the terms: 7 + 6t = -9 + 6t + 4t Combine like terms: 6t + 4t = 10t 7 + 6t = -9 + 10t Solving 7 + 6t = -9 + 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. 7 + 6t + -10t = -9 + 10t + -10t Combine like terms: 6t + -10t = -4t 7 + -4t = -9 + 10t + -10t Combine like terms: 10t + -10t = 0 7 + -4t = -9 + 0 7 + -4t = -9 Add '-7' to each side of the equation. 7 + -7 + -4t = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -4t = -9 + -7 -4t = -9 + -7 Combine like terms: -9 + -7 = -16 -4t = -16 Divide each side by '-4'. t = 4 Simplifying t = 4
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