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Simplifying 1.5(t + 7) = 32 Reorder the terms: 1.5(7 + t) = 32 (7 * 1.5 + t * 1.5) = 32 (10.5 + 1.5t) = 32 Solving 10.5 + 1.5t = 32 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + 1.5t = 32 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 1.5t = 32 + -10.5 1.5t = 32 + -10.5 Combine like terms: 32 + -10.5 = 21.5 1.5t = 21.5 Divide each side by '1.5'. t = 14.33333333 Simplifying t = 14.33333333
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