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Simplifying 15(t + -3) + 6 = 7(3t + 2) + -8 Reorder the terms: 15(-3 + t) + 6 = 7(3t + 2) + -8 (-3 * 15 + t * 15) + 6 = 7(3t + 2) + -8 (-45 + 15t) + 6 = 7(3t + 2) + -8 Reorder the terms: -45 + 6 + 15t = 7(3t + 2) + -8 Combine like terms: -45 + 6 = -39 -39 + 15t = 7(3t + 2) + -8 Reorder the terms: -39 + 15t = 7(2 + 3t) + -8 -39 + 15t = (2 * 7 + 3t * 7) + -8 -39 + 15t = (14 + 21t) + -8 Reorder the terms: -39 + 15t = 14 + -8 + 21t Combine like terms: 14 + -8 = 6 -39 + 15t = 6 + 21t Solving -39 + 15t = 6 + 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. -39 + 15t + -21t = 6 + 21t + -21t Combine like terms: 15t + -21t = -6t -39 + -6t = 6 + 21t + -21t Combine like terms: 21t + -21t = 0 -39 + -6t = 6 + 0 -39 + -6t = 6 Add '39' to each side of the equation. -39 + 39 + -6t = 6 + 39 Combine like terms: -39 + 39 = 0 0 + -6t = 6 + 39 -6t = 6 + 39 Combine like terms: 6 + 39 = 45 -6t = 45 Divide each side by '-6'. t = -7.5 Simplifying t = -7.5
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