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Simplifying 3(t + -4) + -12 = 0 Reorder the terms: 3(-4 + t) + -12 = 0 (-4 * 3 + t * 3) + -12 = 0 (-12 + 3t) + -12 = 0 Reorder the terms: -12 + -12 + 3t = 0 Combine like terms: -12 + -12 = -24 -24 + 3t = 0 Solving -24 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 3t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3t = 0 + 24 3t = 0 + 24 Combine like terms: 0 + 24 = 24 3t = 24 Divide each side by '3'. t = 8 Simplifying t = 8
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