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Simplifying -3(4t + -5) + 4t = 7t + -7 Reorder the terms: -3(-5 + 4t) + 4t = 7t + -7 (-5 * -3 + 4t * -3) + 4t = 7t + -7 (15 + -12t) + 4t = 7t + -7 Combine like terms: -12t + 4t = -8t 15 + -8t = 7t + -7 Reorder the terms: 15 + -8t = -7 + 7t Solving 15 + -8t = -7 + 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. 15 + -8t + -7t = -7 + 7t + -7t Combine like terms: -8t + -7t = -15t 15 + -15t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 15 + -15t = -7 + 0 15 + -15t = -7 Add '-15' to each side of the equation. 15 + -15 + -15t = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -15t = -7 + -15 -15t = -7 + -15 Combine like terms: -7 + -15 = -22 -15t = -22 Divide each side by '-15'. t = 1.466666667 Simplifying t = 1.466666667
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