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Simplifying 3(t + -12) + -2 = 46 Reorder the terms: 3(-12 + t) + -2 = 46 (-12 * 3 + t * 3) + -2 = 46 (-36 + 3t) + -2 = 46 Reorder the terms: -36 + -2 + 3t = 46 Combine like terms: -36 + -2 = -38 -38 + 3t = 46 Solving -38 + 3t = 46 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 3t = 46 + 38 Combine like terms: -38 + 38 = 0 0 + 3t = 46 + 38 3t = 46 + 38 Combine like terms: 46 + 38 = 84 3t = 84 Divide each side by '3'. t = 28 Simplifying t = 28
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