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Simplifying (18t + -12) + (4t + -20) = 78 Reorder the terms: (-12 + 18t) + (4t + -20) = 78 Remove parenthesis around (-12 + 18t) -12 + 18t + (4t + -20) = 78 Reorder the terms: -12 + 18t + (-20 + 4t) = 78 Remove parenthesis around (-20 + 4t) -12 + 18t + -20 + 4t = 78 Reorder the terms: -12 + -20 + 18t + 4t = 78 Combine like terms: -12 + -20 = -32 -32 + 18t + 4t = 78 Combine like terms: 18t + 4t = 22t -32 + 22t = 78 Solving -32 + 22t = 78 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 22t = 78 + 32 Combine like terms: -32 + 32 = 0 0 + 22t = 78 + 32 22t = 78 + 32 Combine like terms: 78 + 32 = 110 22t = 110 Divide each side by '22'. t = 5 Simplifying t = 5
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