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Simplifying 2 + 3t = 5(3t + 7) Reorder the terms: 2 + 3t = 5(7 + 3t) 2 + 3t = (7 * 5 + 3t * 5) 2 + 3t = (35 + 15t) Solving 2 + 3t = 35 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 2 + 3t + -15t = 35 + 15t + -15t Combine like terms: 3t + -15t = -12t 2 + -12t = 35 + 15t + -15t Combine like terms: 15t + -15t = 0 2 + -12t = 35 + 0 2 + -12t = 35 Add '-2' to each side of the equation. 2 + -2 + -12t = 35 + -2 Combine like terms: 2 + -2 = 0 0 + -12t = 35 + -2 -12t = 35 + -2 Combine like terms: 35 + -2 = 33 -12t = 33 Divide each side by '-12'. t = -2.75 Simplifying t = -2.75
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