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Simplifying -2(5t + -3) + 4t = 7t + -9 Reorder the terms: -2(-3 + 5t) + 4t = 7t + -9 (-3 * -2 + 5t * -2) + 4t = 7t + -9 (6 + -10t) + 4t = 7t + -9 Combine like terms: -10t + 4t = -6t 6 + -6t = 7t + -9 Reorder the terms: 6 + -6t = -9 + 7t Solving 6 + -6t = -9 + 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. 6 + -6t + -7t = -9 + 7t + -7t Combine like terms: -6t + -7t = -13t 6 + -13t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 6 + -13t = -9 + 0 6 + -13t = -9 Add '-6' to each side of the equation. 6 + -6 + -13t = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -13t = -9 + -6 -13t = -9 + -6 Combine like terms: -9 + -6 = -15 -13t = -15 Divide each side by '-13'. t = 1.153846154 Simplifying t = 1.153846154
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