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Simplifying -3(2t + -4) + 4t = 2t + -5 Reorder the terms: -3(-4 + 2t) + 4t = 2t + -5 (-4 * -3 + 2t * -3) + 4t = 2t + -5 (12 + -6t) + 4t = 2t + -5 Combine like terms: -6t + 4t = -2t 12 + -2t = 2t + -5 Reorder the terms: 12 + -2t = -5 + 2t Solving 12 + -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. 12 + -2t + -2t = -5 + 2t + -2t Combine like terms: -2t + -2t = -4t 12 + -4t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + -4t = -5 + 0 12 + -4t = -5 Add '-12' to each side of the equation. 12 + -12 + -4t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -4t = -5 + -12 -4t = -5 + -12 Combine like terms: -5 + -12 = -17 -4t = -17 Divide each side by '-4'. t = 4.25 Simplifying t = 4.25
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