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Simplifying 2t + 10 = 2(4t + 4) Reorder the terms: 10 + 2t = 2(4t + 4) Reorder the terms: 10 + 2t = 2(4 + 4t) 10 + 2t = (4 * 2 + 4t * 2) 10 + 2t = (8 + 8t) Solving 10 + 2t = 8 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 10 + 2t + -8t = 8 + 8t + -8t Combine like terms: 2t + -8t = -6t 10 + -6t = 8 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -6t = 8 + 0 10 + -6t = 8 Add '-10' to each side of the equation. 10 + -10 + -6t = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -6t = 8 + -10 -6t = 8 + -10 Combine like terms: 8 + -10 = -2 -6t = -2 Divide each side by '-6'. t = 0.3333333333 Simplifying t = 0.3333333333
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