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Simplifying 4(5t + -5) + 3t = 8t + -9 Reorder the terms: 4(-5 + 5t) + 3t = 8t + -9 (-5 * 4 + 5t * 4) + 3t = 8t + -9 (-20 + 20t) + 3t = 8t + -9 Combine like terms: 20t + 3t = 23t -20 + 23t = 8t + -9 Reorder the terms: -20 + 23t = -9 + 8t Solving -20 + 23t = -9 + 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. -20 + 23t + -8t = -9 + 8t + -8t Combine like terms: 23t + -8t = 15t -20 + 15t = -9 + 8t + -8t Combine like terms: 8t + -8t = 0 -20 + 15t = -9 + 0 -20 + 15t = -9 Add '20' to each side of the equation. -20 + 20 + 15t = -9 + 20 Combine like terms: -20 + 20 = 0 0 + 15t = -9 + 20 15t = -9 + 20 Combine like terms: -9 + 20 = 11 15t = 11 Divide each side by '15'. t = 0.7333333333 Simplifying t = 0.7333333333
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