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Simplifying -3(4t + -3) + 4t = 7t + -5 Reorder the terms: -3(-3 + 4t) + 4t = 7t + -5 (-3 * -3 + 4t * -3) + 4t = 7t + -5 (9 + -12t) + 4t = 7t + -5 Combine like terms: -12t + 4t = -8t 9 + -8t = 7t + -5 Reorder the terms: 9 + -8t = -5 + 7t Solving 9 + -8t = -5 + 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 + -8t + -7t = -5 + 7t + -7t Combine like terms: -8t + -7t = -15t 9 + -15t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 9 + -15t = -5 + 0 9 + -15t = -5 Add '-9' to each side of the equation. 9 + -9 + -15t = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -15t = -5 + -9 -15t = -5 + -9 Combine like terms: -5 + -9 = -14 -15t = -14 Divide each side by '-15'. t = 0.9333333333 Simplifying t = 0.9333333333
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