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Simplifying 3t + -10 + 9 = 17 + 4t + -3 Reorder the terms: -10 + 9 + 3t = 17 + 4t + -3 Combine like terms: -10 + 9 = -1 -1 + 3t = 17 + 4t + -3 Reorder the terms: -1 + 3t = 17 + -3 + 4t Combine like terms: 17 + -3 = 14 -1 + 3t = 14 + 4t Solving -1 + 3t = 14 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -1 + 3t + -4t = 14 + 4t + -4t Combine like terms: 3t + -4t = -1t -1 + -1t = 14 + 4t + -4t Combine like terms: 4t + -4t = 0 -1 + -1t = 14 + 0 -1 + -1t = 14 Add '1' to each side of the equation. -1 + 1 + -1t = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -1t = 14 + 1 -1t = 14 + 1 Combine like terms: 14 + 1 = 15 -1t = 15 Divide each side by '-1'. t = -15 Simplifying t = -15
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