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Simplifying -2(3t + -4) + 4t = 2t + -5 Reorder the terms: -2(-4 + 3t) + 4t = 2t + -5 (-4 * -2 + 3t * -2) + 4t = 2t + -5 (8 + -6t) + 4t = 2t + -5 Combine like terms: -6t + 4t = -2t 8 + -2t = 2t + -5 Reorder the terms: 8 + -2t = -5 + 2t Solving 8 + -2t = -5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 8 + -2t + -2t = -5 + 2t + -2t Combine like terms: -2t + -2t = -4t 8 + -4t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + -4t = -5 + 0 8 + -4t = -5 Add '-8' to each side of the equation. 8 + -8 + -4t = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = -5 + -8 -4t = -5 + -8 Combine like terms: -5 + -8 = -13 -4t = -13 Divide each side by '-4'. t = 3.25 Simplifying t = 3.25
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