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Simplifying 4(t + 3) = 2(t + -2) + 5 Reorder the terms: 4(3 + t) = 2(t + -2) + 5 (3 * 4 + t * 4) = 2(t + -2) + 5 (12 + 4t) = 2(t + -2) + 5 Reorder the terms: 12 + 4t = 2(-2 + t) + 5 12 + 4t = (-2 * 2 + t * 2) + 5 12 + 4t = (-4 + 2t) + 5 Reorder the terms: 12 + 4t = -4 + 5 + 2t Combine like terms: -4 + 5 = 1 12 + 4t = 1 + 2t Solving 12 + 4t = 1 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 12 + 4t + -2t = 1 + 2t + -2t Combine like terms: 4t + -2t = 2t 12 + 2t = 1 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + 2t = 1 + 0 12 + 2t = 1 Add '-12' to each side of the equation. 12 + -12 + 2t = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 2t = 1 + -12 2t = 1 + -12 Combine like terms: 1 + -12 = -11 2t = -11 Divide each side by '2'. t = -5.5 Simplifying t = -5.5
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