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Simplifying 5 + 4t + -1 = 9t + 10 + -3t Reorder the terms: 5 + -1 + 4t = 9t + 10 + -3t Combine like terms: 5 + -1 = 4 4 + 4t = 9t + 10 + -3t Reorder the terms: 4 + 4t = 10 + 9t + -3t Combine like terms: 9t + -3t = 6t 4 + 4t = 10 + 6t Solving 4 + 4t = 10 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 4 + 4t + -6t = 10 + 6t + -6t Combine like terms: 4t + -6t = -2t 4 + -2t = 10 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -2t = 10 + 0 4 + -2t = 10 Add '-4' to each side of the equation. 4 + -4 + -2t = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = 10 + -4 -2t = 10 + -4 Combine like terms: 10 + -4 = 6 -2t = 6 Divide each side by '-2'. t = -3 Simplifying t = -3
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