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Simplifying 16t + -18 + 4t = 10(3t + 2) + 2 Reorder the terms: -18 + 16t + 4t = 10(3t + 2) + 2 Combine like terms: 16t + 4t = 20t -18 + 20t = 10(3t + 2) + 2 Reorder the terms: -18 + 20t = 10(2 + 3t) + 2 -18 + 20t = (2 * 10 + 3t * 10) + 2 -18 + 20t = (20 + 30t) + 2 Reorder the terms: -18 + 20t = 20 + 2 + 30t Combine like terms: 20 + 2 = 22 -18 + 20t = 22 + 30t Solving -18 + 20t = 22 + 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. -18 + 20t + -30t = 22 + 30t + -30t Combine like terms: 20t + -30t = -10t -18 + -10t = 22 + 30t + -30t Combine like terms: 30t + -30t = 0 -18 + -10t = 22 + 0 -18 + -10t = 22 Add '18' to each side of the equation. -18 + 18 + -10t = 22 + 18 Combine like terms: -18 + 18 = 0 0 + -10t = 22 + 18 -10t = 22 + 18 Combine like terms: 22 + 18 = 40 -10t = 40 Divide each side by '-10'. t = -4 Simplifying t = -4
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