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Simplifying -3(2t + -4) + 2t = 5t + -7 Reorder the terms: -3(-4 + 2t) + 2t = 5t + -7 (-4 * -3 + 2t * -3) + 2t = 5t + -7 (12 + -6t) + 2t = 5t + -7 Combine like terms: -6t + 2t = -4t 12 + -4t = 5t + -7 Reorder the terms: 12 + -4t = -7 + 5t Solving 12 + -4t = -7 + 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 + -4t + -5t = -7 + 5t + -5t Combine like terms: -4t + -5t = -9t 12 + -9t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 12 + -9t = -7 + 0 12 + -9t = -7 Add '-12' to each side of the equation. 12 + -12 + -9t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -9t = -7 + -12 -9t = -7 + -12 Combine like terms: -7 + -12 = -19 -9t = -19 Divide each side by '-9'. t = 2.111111111 Simplifying t = 2.111111111
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