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Simplifying -4t + 20 + 7t = 6t + -9 Reorder the terms: 20 + -4t + 7t = 6t + -9 Combine like terms: -4t + 7t = 3t 20 + 3t = 6t + -9 Reorder the terms: 20 + 3t = -9 + 6t Solving 20 + 3t = -9 + 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. 20 + 3t + -6t = -9 + 6t + -6t Combine like terms: 3t + -6t = -3t 20 + -3t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 20 + -3t = -9 + 0 20 + -3t = -9 Add '-20' to each side of the equation. 20 + -20 + -3t = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -3t = -9 + -20 -3t = -9 + -20 Combine like terms: -9 + -20 = -29 -3t = -29 Divide each side by '-3'. t = 9.666666667 Simplifying t = 9.666666667
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