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Simplifying 9t + 4 = -2(1 + -3t) Reorder the terms: 4 + 9t = -2(1 + -3t) 4 + 9t = (1 * -2 + -3t * -2) 4 + 9t = (-2 + 6t) Solving 4 + 9t = -2 + 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. 4 + 9t + -6t = -2 + 6t + -6t Combine like terms: 9t + -6t = 3t 4 + 3t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + 3t = -2 + 0 4 + 3t = -2 Add '-4' to each side of the equation. 4 + -4 + 3t = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 3t = -2 + -4 3t = -2 + -4 Combine like terms: -2 + -4 = -6 3t = -6 Divide each side by '3'. t = -2 Simplifying t = -2
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