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Simplifying -2(3t + -3) + 3t = 8t + -4 Reorder the terms: -2(-3 + 3t) + 3t = 8t + -4 (-3 * -2 + 3t * -2) + 3t = 8t + -4 (6 + -6t) + 3t = 8t + -4 Combine like terms: -6t + 3t = -3t 6 + -3t = 8t + -4 Reorder the terms: 6 + -3t = -4 + 8t Solving 6 + -3t = -4 + 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. 6 + -3t + -8t = -4 + 8t + -8t Combine like terms: -3t + -8t = -11t 6 + -11t = -4 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -11t = -4 + 0 6 + -11t = -4 Add '-6' to each side of the equation. 6 + -6 + -11t = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -11t = -4 + -6 -11t = -4 + -6 Combine like terms: -4 + -6 = -10 -11t = -10 Divide each side by '-11'. t = 0.9090909091 Simplifying t = 0.9090909091
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