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Simplifying 3t + -5 = -8(6t + 5t) Reorder the terms: -5 + 3t = -8(6t + 5t) Combine like terms: 6t + 5t = 11t -5 + 3t = -8(11t) Remove parenthesis around (11t) -5 + 3t = -8 * 11t Multiply -8 * 11 -5 + 3t = -88t Solving -5 + 3t = -88t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '88t' to each side of the equation. -5 + 3t + 88t = -88t + 88t Combine like terms: 3t + 88t = 91t -5 + 91t = -88t + 88t Combine like terms: -88t + 88t = 0 -5 + 91t = 0 Add '5' to each side of the equation. -5 + 5 + 91t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 91t = 0 + 5 91t = 0 + 5 Combine like terms: 0 + 5 = 5 91t = 5 Divide each side by '91'. t = 0.05494505495 Simplifying t = 0.05494505495
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