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Simplifying 2(t + -4) + 12 = 3t + -5 Reorder the terms: 2(-4 + t) + 12 = 3t + -5 (-4 * 2 + t * 2) + 12 = 3t + -5 (-8 + 2t) + 12 = 3t + -5 Reorder the terms: -8 + 12 + 2t = 3t + -5 Combine like terms: -8 + 12 = 4 4 + 2t = 3t + -5 Reorder the terms: 4 + 2t = -5 + 3t Solving 4 + 2t = -5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 4 + 2t + -3t = -5 + 3t + -3t Combine like terms: 2t + -3t = -1t 4 + -1t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 4 + -1t = -5 + 0 4 + -1t = -5 Add '-4' to each side of the equation. 4 + -4 + -1t = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = -5 + -4 -1t = -5 + -4 Combine like terms: -5 + -4 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9
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