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Simplifying (7t + -12) + (t + 4) = 15 Reorder the terms: (-12 + 7t) + (t + 4) = 15 Remove parenthesis around (-12 + 7t) -12 + 7t + (t + 4) = 15 Reorder the terms: -12 + 7t + (4 + t) = 15 Remove parenthesis around (4 + t) -12 + 7t + 4 + t = 15 Reorder the terms: -12 + 4 + 7t + t = 15 Combine like terms: -12 + 4 = -8 -8 + 7t + t = 15 Combine like terms: 7t + t = 8t -8 + 8t = 15 Solving -8 + 8t = 15 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8t = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 8t = 15 + 8 8t = 15 + 8 Combine like terms: 15 + 8 = 23 8t = 23 Divide each side by '8'. t = 2.875 Simplifying t = 2.875
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