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Simplifying -3(4t + -3) + 5t = 6t + -7 Reorder the terms: -3(-3 + 4t) + 5t = 6t + -7 (-3 * -3 + 4t * -3) + 5t = 6t + -7 (9 + -12t) + 5t = 6t + -7 Combine like terms: -12t + 5t = -7t 9 + -7t = 6t + -7 Reorder the terms: 9 + -7t = -7 + 6t Solving 9 + -7t = -7 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 9 + -7t + -6t = -7 + 6t + -6t Combine like terms: -7t + -6t = -13t 9 + -13t = -7 + 6t + -6t Combine like terms: 6t + -6t = 0 9 + -13t = -7 + 0 9 + -13t = -7 Add '-9' to each side of the equation. 9 + -9 + -13t = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -13t = -7 + -9 -13t = -7 + -9 Combine like terms: -7 + -9 = -16 -13t = -16 Divide each side by '-13'. t = 1.230769231 Simplifying t = 1.230769231
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