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Simplifying -3(5t + -3) + 2t = 7t + -2 Reorder the terms: -3(-3 + 5t) + 2t = 7t + -2 (-3 * -3 + 5t * -3) + 2t = 7t + -2 (9 + -15t) + 2t = 7t + -2 Combine like terms: -15t + 2t = -13t 9 + -13t = 7t + -2 Reorder the terms: 9 + -13t = -2 + 7t Solving 9 + -13t = -2 + 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 + -13t + -7t = -2 + 7t + -7t Combine like terms: -13t + -7t = -20t 9 + -20t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 9 + -20t = -2 + 0 9 + -20t = -2 Add '-9' to each side of the equation. 9 + -9 + -20t = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -20t = -2 + -9 -20t = -2 + -9 Combine like terms: -2 + -9 = -11 -20t = -11 Divide each side by '-20'. t = 0.55 Simplifying t = 0.55
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