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Simplifying 5 + 7t = 4(t + -9) Reorder the terms: 5 + 7t = 4(-9 + t) 5 + 7t = (-9 * 4 + t * 4) 5 + 7t = (-36 + 4t) Solving 5 + 7t = -36 + 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. 5 + 7t + -4t = -36 + 4t + -4t Combine like terms: 7t + -4t = 3t 5 + 3t = -36 + 4t + -4t Combine like terms: 4t + -4t = 0 5 + 3t = -36 + 0 5 + 3t = -36 Add '-5' to each side of the equation. 5 + -5 + 3t = -36 + -5 Combine like terms: 5 + -5 = 0 0 + 3t = -36 + -5 3t = -36 + -5 Combine like terms: -36 + -5 = -41 3t = -41 Divide each side by '3'. t = -13.66666667 Simplifying t = -13.66666667
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