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Simplifying -3(4t + -4) + 6t = 2t + -5 Reorder the terms: -3(-4 + 4t) + 6t = 2t + -5 (-4 * -3 + 4t * -3) + 6t = 2t + -5 (12 + -12t) + 6t = 2t + -5 Combine like terms: -12t + 6t = -6t 12 + -6t = 2t + -5 Reorder the terms: 12 + -6t = -5 + 2t Solving 12 + -6t = -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 + -6t + -2t = -5 + 2t + -2t Combine like terms: -6t + -2t = -8t 12 + -8t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + -8t = -5 + 0 12 + -8t = -5 Add '-12' to each side of the equation. 12 + -12 + -8t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -8t = -5 + -12 -8t = -5 + -12 Combine like terms: -5 + -12 = -17 -8t = -17 Divide each side by '-8'. t = 2.125 Simplifying t = 2.125
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