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Simplifying 10t + 29 = -8t + -4 + -3t + -9 Reorder the terms: 29 + 10t = -8t + -4 + -3t + -9 Reorder the terms: 29 + 10t = -4 + -9 + -8t + -3t Combine like terms: -4 + -9 = -13 29 + 10t = -13 + -8t + -3t Combine like terms: -8t + -3t = -11t 29 + 10t = -13 + -11t Solving 29 + 10t = -13 + -11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11t' to each side of the equation. 29 + 10t + 11t = -13 + -11t + 11t Combine like terms: 10t + 11t = 21t 29 + 21t = -13 + -11t + 11t Combine like terms: -11t + 11t = 0 29 + 21t = -13 + 0 29 + 21t = -13 Add '-29' to each side of the equation. 29 + -29 + 21t = -13 + -29 Combine like terms: 29 + -29 = 0 0 + 21t = -13 + -29 21t = -13 + -29 Combine like terms: -13 + -29 = -42 21t = -42 Divide each side by '21'. t = -2 Simplifying t = -2
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