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