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Simplifying 3(t + 4) = 5(t + -1) Reorder the terms: 3(4 + t) = 5(t + -1) (4 * 3 + t * 3) = 5(t + -1) (12 + 3t) = 5(t + -1) Reorder the terms: 12 + 3t = 5(-1 + t) 12 + 3t = (-1 * 5 + t * 5) 12 + 3t = (-5 + 5t) Solving 12 + 3t = -5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 12 + 3t + -5t = -5 + 5t + -5t Combine like terms: 3t + -5t = -2t 12 + -2t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 12 + -2t = -5 + 0 12 + -2t = -5 Add '-12' to each side of the equation. 12 + -12 + -2t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = -5 + -12 -2t = -5 + -12 Combine like terms: -5 + -12 = -17 -2t = -17 Divide each side by '-2'. t = 8.5 Simplifying t = 8.5
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