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Simplifying 1 + -2(2t + -3) = 6t + -3(2t + 3) Reorder the terms: 1 + -2(-3 + 2t) = 6t + -3(2t + 3) 1 + (-3 * -2 + 2t * -2) = 6t + -3(2t + 3) 1 + (6 + -4t) = 6t + -3(2t + 3) Combine like terms: 1 + 6 = 7 7 + -4t = 6t + -3(2t + 3) Reorder the terms: 7 + -4t = 6t + -3(3 + 2t) 7 + -4t = 6t + (3 * -3 + 2t * -3) 7 + -4t = 6t + (-9 + -6t) Reorder the terms: 7 + -4t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 7 + -4t = -9 + 0 7 + -4t = -9 Solving 7 + -4t = -9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4t = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -4t = -9 + -7 -4t = -9 + -7 Combine like terms: -9 + -7 = -16 -4t = -16 Divide each side by '-4'. t = 4 Simplifying t = 4
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