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Simplifying 3(2t + -4) = 2t + -12 Reorder the terms: 3(-4 + 2t) = 2t + -12 (-4 * 3 + 2t * 3) = 2t + -12 (-12 + 6t) = 2t + -12 Reorder the terms: -12 + 6t = -12 + 2t Add '12' to each side of the equation. -12 + 12 + 6t = -12 + 12 + 2t Combine like terms: -12 + 12 = 0 0 + 6t = -12 + 12 + 2t 6t = -12 + 12 + 2t Combine like terms: -12 + 12 = 0 6t = 0 + 2t 6t = 2t Solving 6t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 6t + -2t = 2t + -2t Combine like terms: 6t + -2t = 4t 4t = 2t + -2t Combine like terms: 2t + -2t = 0 4t = 0 Divide each side by '4'. t = 0 Simplifying t = 0
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