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Simplifying 2t + 38 = 5(t + 1) Reorder the terms: 38 + 2t = 5(t + 1) Reorder the terms: 38 + 2t = 5(1 + t) 38 + 2t = (1 * 5 + t * 5) 38 + 2t = (5 + 5t) Solving 38 + 2t = 5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 38 + 2t + -5t = 5 + 5t + -5t Combine like terms: 2t + -5t = -3t 38 + -3t = 5 + 5t + -5t Combine like terms: 5t + -5t = 0 38 + -3t = 5 + 0 38 + -3t = 5 Add '-38' to each side of the equation. 38 + -38 + -3t = 5 + -38 Combine like terms: 38 + -38 = 0 0 + -3t = 5 + -38 -3t = 5 + -38 Combine like terms: 5 + -38 = -33 -3t = -33 Divide each side by '-3'. t = 11 Simplifying t = 11
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