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Simplifying 3t + -8 = 4(t + 5) * 8 Reorder the terms: -8 + 3t = 4(t + 5) * 8 Reorder the terms: -8 + 3t = 4(5 + t) * 8 Reorder the terms for easier multiplication: -8 + 3t = 4 * 8(5 + t) Multiply 4 * 8 -8 + 3t = 32(5 + t) -8 + 3t = (5 * 32 + t * 32) -8 + 3t = (160 + 32t) Solving -8 + 3t = 160 + 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. -8 + 3t + -32t = 160 + 32t + -32t Combine like terms: 3t + -32t = -29t -8 + -29t = 160 + 32t + -32t Combine like terms: 32t + -32t = 0 -8 + -29t = 160 + 0 -8 + -29t = 160 Add '8' to each side of the equation. -8 + 8 + -29t = 160 + 8 Combine like terms: -8 + 8 = 0 0 + -29t = 160 + 8 -29t = 160 + 8 Combine like terms: 160 + 8 = 168 -29t = 168 Divide each side by '-29'. t = -5.793103448 Simplifying t = -5.793103448
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