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Simplifying (t + 16) + (2t + -30) + (4t + -44) = 180 Reorder the terms: (16 + t) + (2t + -30) + (4t + -44) = 180 Remove parenthesis around (16 + t) 16 + t + (2t + -30) + (4t + -44) = 180 Reorder the terms: 16 + t + (-30 + 2t) + (4t + -44) = 180 Remove parenthesis around (-30 + 2t) 16 + t + -30 + 2t + (4t + -44) = 180 Reorder the terms: 16 + t + -30 + 2t + (-44 + 4t) = 180 Remove parenthesis around (-44 + 4t) 16 + t + -30 + 2t + -44 + 4t = 180 Reorder the terms: 16 + -30 + -44 + t + 2t + 4t = 180 Combine like terms: 16 + -30 = -14 -14 + -44 + t + 2t + 4t = 180 Combine like terms: -14 + -44 = -58 -58 + t + 2t + 4t = 180 Combine like terms: t + 2t = 3t -58 + 3t + 4t = 180 Combine like terms: 3t + 4t = 7t -58 + 7t = 180 Solving -58 + 7t = 180 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 7t = 180 + 58 Combine like terms: -58 + 58 = 0 0 + 7t = 180 + 58 7t = 180 + 58 Combine like terms: 180 + 58 = 238 7t = 238 Divide each side by '7'. t = 34 Simplifying t = 34
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