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Simplifying -2(3t + -4) + 4t = 7t + -3 Reorder the terms: -2(-4 + 3t) + 4t = 7t + -3 (-4 * -2 + 3t * -2) + 4t = 7t + -3 (8 + -6t) + 4t = 7t + -3 Combine like terms: -6t + 4t = -2t 8 + -2t = 7t + -3 Reorder the terms: 8 + -2t = -3 + 7t Solving 8 + -2t = -3 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + -2t + -7t = -3 + 7t + -7t Combine like terms: -2t + -7t = -9t 8 + -9t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -9t = -3 + 0 8 + -9t = -3 Add '-8' to each side of the equation. 8 + -8 + -9t = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -9t = -3 + -8 -9t = -3 + -8 Combine like terms: -3 + -8 = -11 -9t = -11 Divide each side by '-9'. t = 1.222222222 Simplifying t = 1.222222222
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