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Simplifying -2(3t + -2) + 4t = 3t + -7 Reorder the terms: -2(-2 + 3t) + 4t = 3t + -7 (-2 * -2 + 3t * -2) + 4t = 3t + -7 (4 + -6t) + 4t = 3t + -7 Combine like terms: -6t + 4t = -2t 4 + -2t = 3t + -7 Reorder the terms: 4 + -2t = -7 + 3t Solving 4 + -2t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 4 + -2t + -3t = -7 + 3t + -3t Combine like terms: -2t + -3t = -5t 4 + -5t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 4 + -5t = -7 + 0 4 + -5t = -7 Add '-4' to each side of the equation. 4 + -4 + -5t = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -5t = -7 + -4 -5t = -7 + -4 Combine like terms: -7 + -4 = -11 -5t = -11 Divide each side by '-5'. t = 2.2 Simplifying t = 2.2
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