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Simplifying -3(2t + -3) + 2t = 7t + -7 Reorder the terms: -3(-3 + 2t) + 2t = 7t + -7 (-3 * -3 + 2t * -3) + 2t = 7t + -7 (9 + -6t) + 2t = 7t + -7 Combine like terms: -6t + 2t = -4t 9 + -4t = 7t + -7 Reorder the terms: 9 + -4t = -7 + 7t Solving 9 + -4t = -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. 9 + -4t + -7t = -7 + 7t + -7t Combine like terms: -4t + -7t = -11t 9 + -11t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 9 + -11t = -7 + 0 9 + -11t = -7 Add '-9' to each side of the equation. 9 + -9 + -11t = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -11t = -7 + -9 -11t = -7 + -9 Combine like terms: -7 + -9 = -16 -11t = -16 Divide each side by '-11'. t = 1.454545455 Simplifying t = 1.454545455
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