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Simplifying -5(3t + -2) + 9t = 7t + -7 Reorder the terms: -5(-2 + 3t) + 9t = 7t + -7 (-2 * -5 + 3t * -5) + 9t = 7t + -7 (10 + -15t) + 9t = 7t + -7 Combine like terms: -15t + 9t = -6t 10 + -6t = 7t + -7 Reorder the terms: 10 + -6t = -7 + 7t Solving 10 + -6t = -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. 10 + -6t + -7t = -7 + 7t + -7t Combine like terms: -6t + -7t = -13t 10 + -13t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -13t = -7 + 0 10 + -13t = -7 Add '-10' to each side of the equation. 10 + -10 + -13t = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -13t = -7 + -10 -13t = -7 + -10 Combine like terms: -7 + -10 = -17 -13t = -17 Divide each side by '-13'. t = 1.307692308 Simplifying t = 1.307692308
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