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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) Remove parenthesis around (12 + 2t) -12 + 6t = 12 + 2t Solving -12 + 6t = 12 + 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. -12 + 6t + -2t = 12 + 2t + -2t Combine like terms: 6t + -2t = 4t -12 + 4t = 12 + 2t + -2t Combine like terms: 2t + -2t = 0 -12 + 4t = 12 + 0 -12 + 4t = 12 Add '12' to each side of the equation. -12 + 12 + 4t = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 4t = 12 + 12 4t = 12 + 12 Combine like terms: 12 + 12 = 24 4t = 24 Divide each side by '4'. t = 6 Simplifying t = 6
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