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Simplifying 5(t + 2) = 2t + -6 Reorder the terms: 5(2 + t) = 2t + -6 (2 * 5 + t * 5) = 2t + -6 (10 + 5t) = 2t + -6 Reorder the terms: 10 + 5t = -6 + 2t Solving 10 + 5t = -6 + 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. 10 + 5t + -2t = -6 + 2t + -2t Combine like terms: 5t + -2t = 3t 10 + 3t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + 3t = -6 + 0 10 + 3t = -6 Add '-10' to each side of the equation. 10 + -10 + 3t = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 3t = -6 + -10 3t = -6 + -10 Combine like terms: -6 + -10 = -16 3t = -16 Divide each side by '3'. t = -5.333333333 Simplifying t = -5.333333333
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