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Simplifying -4(t + -2) = 12 + -2t + -3t Reorder the terms: -4(-2 + t) = 12 + -2t + -3t (-2 * -4 + t * -4) = 12 + -2t + -3t (8 + -4t) = 12 + -2t + -3t Combine like terms: -2t + -3t = -5t 8 + -4t = 12 + -5t Solving 8 + -4t = 12 + -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. 8 + -4t + 5t = 12 + -5t + 5t Combine like terms: -4t + 5t = 1t 8 + 1t = 12 + -5t + 5t Combine like terms: -5t + 5t = 0 8 + 1t = 12 + 0 8 + 1t = 12 Add '-8' to each side of the equation. 8 + -8 + 1t = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1t = 12 + -8 1t = 12 + -8 Combine like terms: 12 + -8 = 4 1t = 4 Divide each side by '1'. t = 4 Simplifying t = 4
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