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Simplifying 2t + -2 = 3(t + 6) Reorder the terms: -2 + 2t = 3(t + 6) Reorder the terms: -2 + 2t = 3(6 + t) -2 + 2t = (6 * 3 + t * 3) -2 + 2t = (18 + 3t) Solving -2 + 2t = 18 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -2 + 2t + -3t = 18 + 3t + -3t Combine like terms: 2t + -3t = -1t -2 + -1t = 18 + 3t + -3t Combine like terms: 3t + -3t = 0 -2 + -1t = 18 + 0 -2 + -1t = 18 Add '2' to each side of the equation. -2 + 2 + -1t = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = 18 + 2 -1t = 18 + 2 Combine like terms: 18 + 2 = 20 -1t = 20 Divide each side by '-1'. t = -20 Simplifying t = -20
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