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Simplifying 167(t + -3) + 4t = 7(3t + 4) + -1 Reorder the terms: 167(-3 + t) + 4t = 7(3t + 4) + -1 (-3 * 167 + t * 167) + 4t = 7(3t + 4) + -1 (-501 + 167t) + 4t = 7(3t + 4) + -1 Combine like terms: 167t + 4t = 171t -501 + 171t = 7(3t + 4) + -1 Reorder the terms: -501 + 171t = 7(4 + 3t) + -1 -501 + 171t = (4 * 7 + 3t * 7) + -1 -501 + 171t = (28 + 21t) + -1 Reorder the terms: -501 + 171t = 28 + -1 + 21t Combine like terms: 28 + -1 = 27 -501 + 171t = 27 + 21t Solving -501 + 171t = 27 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -501 + 171t + -21t = 27 + 21t + -21t Combine like terms: 171t + -21t = 150t -501 + 150t = 27 + 21t + -21t Combine like terms: 21t + -21t = 0 -501 + 150t = 27 + 0 -501 + 150t = 27 Add '501' to each side of the equation. -501 + 501 + 150t = 27 + 501 Combine like terms: -501 + 501 = 0 0 + 150t = 27 + 501 150t = 27 + 501 Combine like terms: 27 + 501 = 528 150t = 528 Divide each side by '150'. t = 3.52 Simplifying t = 3.52
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