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Simplifying 4t + 3 = 3(2t + -3) Reorder the terms: 3 + 4t = 3(2t + -3) Reorder the terms: 3 + 4t = 3(-3 + 2t) 3 + 4t = (-3 * 3 + 2t * 3) 3 + 4t = (-9 + 6t) Solving 3 + 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. 3 + 4t + -6t = -9 + 6t + -6t Combine like terms: 4t + -6t = -2t 3 + -2t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 3 + -2t = -9 + 0 3 + -2t = -9 Add '-3' to each side of the equation. 3 + -3 + -2t = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = -9 + -3 -2t = -9 + -3 Combine like terms: -9 + -3 = -12 -2t = -12 Divide each side by '-2'. t = 6 Simplifying t = 6
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