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Simplifying -4(5t + -3) + 5t = 8t + -8 Reorder the terms: -4(-3 + 5t) + 5t = 8t + -8 (-3 * -4 + 5t * -4) + 5t = 8t + -8 (12 + -20t) + 5t = 8t + -8 Combine like terms: -20t + 5t = -15t 12 + -15t = 8t + -8 Reorder the terms: 12 + -15t = -8 + 8t Solving 12 + -15t = -8 + 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. 12 + -15t + -8t = -8 + 8t + -8t Combine like terms: -15t + -8t = -23t 12 + -23t = -8 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + -23t = -8 + 0 12 + -23t = -8 Add '-12' to each side of the equation. 12 + -12 + -23t = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -23t = -8 + -12 -23t = -8 + -12 Combine like terms: -8 + -12 = -20 -23t = -20 Divide each side by '-23'. t = 0.8695652174 Simplifying t = 0.8695652174
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