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Simplifying 4(t + -3.50) + 2t = 32.50 Reorder the terms: 4(-3.50 + t) + 2t = 32.50 (-3.50 * 4 + t * 4) + 2t = 32.50 (-14 + 4t) + 2t = 32.50 Combine like terms: 4t + 2t = 6t -14 + 6t = 32.50 Solving -14 + 6t = 32.50 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6t = 32.50 + 14 Combine like terms: -14 + 14 = 0 0 + 6t = 32.50 + 14 6t = 32.50 + 14 Combine like terms: 32.50 + 14 = 46.5 6t = 46.5 Divide each side by '6'. t = 7.75 Simplifying t = 7.75
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