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Simplifying -2(3t + -3) + 4t = 8t + -3 Reorder the terms: -2(-3 + 3t) + 4t = 8t + -3 (-3 * -2 + 3t * -2) + 4t = 8t + -3 (6 + -6t) + 4t = 8t + -3 Combine like terms: -6t + 4t = -2t 6 + -2t = 8t + -3 Reorder the terms: 6 + -2t = -3 + 8t Solving 6 + -2t = -3 + 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 + -2t + -8t = -3 + 8t + -8t Combine like terms: -2t + -8t = -10t 6 + -10t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -10t = -3 + 0 6 + -10t = -3 Add '-6' to each side of the equation. 6 + -6 + -10t = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -10t = -3 + -6 -10t = -3 + -6 Combine like terms: -3 + -6 = -9 -10t = -9 Divide each side by '-10'. t = 0.9 Simplifying t = 0.9
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