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Simplifying t + 10 = 7t + -4t Reorder the terms: 10 + t = 7t + -4t Combine like terms: 7t + -4t = 3t 10 + t = 3t Solving 10 + t = 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 10 + t + -3t = 3t + -3t Combine like terms: t + -3t = -2t 10 + -2t = 3t + -3t Combine like terms: 3t + -3t = 0 10 + -2t = 0 Add '-10' to each side of the equation. 10 + -10 + -2t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2t = 0 + -10 -2t = 0 + -10 Combine like terms: 0 + -10 = -10 -2t = -10 Divide each side by '-2'. t = 5 Simplifying t = 5
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