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Simplifying 9t + 4(2 + -1t) = 7t + 16 9t + (2 * 4 + -1t * 4) = 7t + 16 9t + (8 + -4t) = 7t + 16 Reorder the terms: 8 + 9t + -4t = 7t + 16 Combine like terms: 9t + -4t = 5t 8 + 5t = 7t + 16 Reorder the terms: 8 + 5t = 16 + 7t Solving 8 + 5t = 16 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + 5t + -7t = 16 + 7t + -7t Combine like terms: 5t + -7t = -2t 8 + -2t = 16 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -2t = 16 + 0 8 + -2t = 16 Add '-8' to each side of the equation. 8 + -8 + -2t = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = 16 + -8 -2t = 16 + -8 Combine like terms: 16 + -8 = 8 -2t = 8 Divide each side by '-2'. t = -4 Simplifying t = -4
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