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Simplifying 2(2t + -1) = 3(2t + -3) Reorder the terms: 2(-1 + 2t) = 3(2t + -3) (-1 * 2 + 2t * 2) = 3(2t + -3) (-2 + 4t) = 3(2t + -3) Reorder the terms: -2 + 4t = 3(-3 + 2t) -2 + 4t = (-3 * 3 + 2t * 3) -2 + 4t = (-9 + 6t) Solving -2 + 4t = -9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -2 + 4t + -6t = -9 + 6t + -6t Combine like terms: 4t + -6t = -2t -2 + -2t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 -2 + -2t = -9 + 0 -2 + -2t = -9 Add '2' to each side of the equation. -2 + 2 + -2t = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -2t = -9 + 2 -2t = -9 + 2 Combine like terms: -9 + 2 = -7 -2t = -7 Divide each side by '-2'. t = 3.5 Simplifying t = 3.5
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