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Simplifying t + 18 = 3(5 + t) + 4t + 3 Reorder the terms: 18 + t = 3(5 + t) + 4t + 3 18 + t = (5 * 3 + t * 3) + 4t + 3 18 + t = (15 + 3t) + 4t + 3 Reorder the terms: 18 + t = 15 + 3 + 3t + 4t Combine like terms: 15 + 3 = 18 18 + t = 18 + 3t + 4t Combine like terms: 3t + 4t = 7t 18 + t = 18 + 7t Add '-18' to each side of the equation. 18 + -18 + t = 18 + -18 + 7t Combine like terms: 18 + -18 = 0 0 + t = 18 + -18 + 7t t = 18 + -18 + 7t Combine like terms: 18 + -18 = 0 t = 0 + 7t t = 7t Solving t = 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. t + -7t = 7t + -7t Combine like terms: t + -7t = -6t -6t = 7t + -7t Combine like terms: 7t + -7t = 0 -6t = 0 Divide each side by '-6'. t = 0 Simplifying t = 0
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