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Simplifying 412 = 4(8t + 7) Reorder the terms: 412 = 4(7 + 8t) 412 = (7 * 4 + 8t * 4) 412 = (28 + 32t) Solving 412 = 28 + 32t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32t' to each side of the equation. 412 + -32t = 28 + 32t + -32t Combine like terms: 32t + -32t = 0 412 + -32t = 28 + 0 412 + -32t = 28 Add '-412' to each side of the equation. 412 + -412 + -32t = 28 + -412 Combine like terms: 412 + -412 = 0 0 + -32t = 28 + -412 -32t = 28 + -412 Combine like terms: 28 + -412 = -384 -32t = -384 Divide each side by '-32'. t = 12 Simplifying t = 12
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