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Simplifying 7t + 29 = 10t + 100 Reorder the terms: 29 + 7t = 10t + 100 Reorder the terms: 29 + 7t = 100 + 10t Solving 29 + 7t = 100 + 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. 29 + 7t + -10t = 100 + 10t + -10t Combine like terms: 7t + -10t = -3t 29 + -3t = 100 + 10t + -10t Combine like terms: 10t + -10t = 0 29 + -3t = 100 + 0 29 + -3t = 100 Add '-29' to each side of the equation. 29 + -29 + -3t = 100 + -29 Combine like terms: 29 + -29 = 0 0 + -3t = 100 + -29 -3t = 100 + -29 Combine like terms: 100 + -29 = 71 -3t = 71 Divide each side by '-3'. t = -23.66666667 Simplifying t = -23.66666667
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