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Simplifying 4(t + 2) = 8t + -12 Reorder the terms: 4(2 + t) = 8t + -12 (2 * 4 + t * 4) = 8t + -12 (8 + 4t) = 8t + -12 Reorder the terms: 8 + 4t = -12 + 8t Solving 8 + 4t = -12 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 8 + 4t + -8t = -12 + 8t + -8t Combine like terms: 4t + -8t = -4t 8 + -4t = -12 + 8t + -8t Combine like terms: 8t + -8t = 0 8 + -4t = -12 + 0 8 + -4t = -12 Add '-8' to each side of the equation. 8 + -8 + -4t = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = -12 + -8 -4t = -12 + -8 Combine like terms: -12 + -8 = -20 -4t = -20 Divide each side by '-4'. t = 5 Simplifying t = 5
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