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Simplifying -7t + 9 = -4(2t + -3) Reorder the terms: 9 + -7t = -4(2t + -3) Reorder the terms: 9 + -7t = -4(-3 + 2t) 9 + -7t = (-3 * -4 + 2t * -4) 9 + -7t = (12 + -8t) Solving 9 + -7t = 12 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 9 + -7t + 8t = 12 + -8t + 8t Combine like terms: -7t + 8t = 1t 9 + 1t = 12 + -8t + 8t Combine like terms: -8t + 8t = 0 9 + 1t = 12 + 0 9 + 1t = 12 Add '-9' to each side of the equation. 9 + -9 + 1t = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1t = 12 + -9 1t = 12 + -9 Combine like terms: 12 + -9 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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