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Simplifying 4(3t + -2) = 4(t + 1) Reorder the terms: 4(-2 + 3t) = 4(t + 1) (-2 * 4 + 3t * 4) = 4(t + 1) (-8 + 12t) = 4(t + 1) Reorder the terms: -8 + 12t = 4(1 + t) -8 + 12t = (1 * 4 + t * 4) -8 + 12t = (4 + 4t) Solving -8 + 12t = 4 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -8 + 12t + -4t = 4 + 4t + -4t Combine like terms: 12t + -4t = 8t -8 + 8t = 4 + 4t + -4t Combine like terms: 4t + -4t = 0 -8 + 8t = 4 + 0 -8 + 8t = 4 Add '8' to each side of the equation. -8 + 8 + 8t = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 8t = 4 + 8 8t = 4 + 8 Combine like terms: 4 + 8 = 12 8t = 12 Divide each side by '8'. t = 1.5 Simplifying t = 1.5
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