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Simplifying 3(t + -3) = 7(2t + 1) Reorder the terms: 3(-3 + t) = 7(2t + 1) (-3 * 3 + t * 3) = 7(2t + 1) (-9 + 3t) = 7(2t + 1) Reorder the terms: -9 + 3t = 7(1 + 2t) -9 + 3t = (1 * 7 + 2t * 7) -9 + 3t = (7 + 14t) Solving -9 + 3t = 7 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -9 + 3t + -14t = 7 + 14t + -14t Combine like terms: 3t + -14t = -11t -9 + -11t = 7 + 14t + -14t Combine like terms: 14t + -14t = 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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