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Simplifying 2t + -6 = 3(2t + 4) Reorder the terms: -6 + 2t = 3(2t + 4) Reorder the terms: -6 + 2t = 3(4 + 2t) -6 + 2t = (4 * 3 + 2t * 3) -6 + 2t = (12 + 6t) Solving -6 + 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. -6 + 2t + -6t = 12 + 6t + -6t Combine like terms: 2t + -6t = -4t -6 + -4t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 -6 + -4t = 12 + 0 -6 + -4t = 12 Add '6' to each side of the equation. -6 + 6 + -4t = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -4t = 12 + 6 -4t = 12 + 6 Combine like terms: 12 + 6 = 18 -4t = 18 Divide each side by '-4'. t = -4.5 Simplifying t = -4.5
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