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Simplifying -3(2t + -3) + 4t = 7t + -4 Reorder the terms: -3(-3 + 2t) + 4t = 7t + -4 (-3 * -3 + 2t * -3) + 4t = 7t + -4 (9 + -6t) + 4t = 7t + -4 Combine like terms: -6t + 4t = -2t 9 + -2t = 7t + -4 Reorder the terms: 9 + -2t = -4 + 7t Solving 9 + -2t = -4 + 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. 9 + -2t + -7t = -4 + 7t + -7t Combine like terms: -2t + -7t = -9t 9 + -9t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 9 + -9t = -4 + 0 9 + -9t = -4 Add '-9' to each side of the equation. 9 + -9 + -9t = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -9t = -4 + -9 -9t = -4 + -9 Combine like terms: -4 + -9 = -13 -9t = -13 Divide each side by '-9'. t = 1.444444444 Simplifying t = 1.444444444
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