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Simplifying -4(2t + -3) + 5t = 6t + -8 Reorder the terms: -4(-3 + 2t) + 5t = 6t + -8 (-3 * -4 + 2t * -4) + 5t = 6t + -8 (12 + -8t) + 5t = 6t + -8 Combine like terms: -8t + 5t = -3t 12 + -3t = 6t + -8 Reorder the terms: 12 + -3t = -8 + 6t Solving 12 + -3t = -8 + 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. 12 + -3t + -6t = -8 + 6t + -6t Combine like terms: -3t + -6t = -9t 12 + -9t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -9t = -8 + 0 12 + -9t = -8 Add '-12' to each side of the equation. 12 + -12 + -9t = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -9t = -8 + -12 -9t = -8 + -12 Combine like terms: -8 + -12 = -20 -9t = -20 Divide each side by '-9'. t = 2.222222222 Simplifying t = 2.222222222
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