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Simplifying 17(t + -6) + 44 = 7(3t + 3) + -9 Reorder the terms: 17(-6 + t) + 44 = 7(3t + 3) + -9 (-6 * 17 + t * 17) + 44 = 7(3t + 3) + -9 (-102 + 17t) + 44 = 7(3t + 3) + -9 Reorder the terms: -102 + 44 + 17t = 7(3t + 3) + -9 Combine like terms: -102 + 44 = -58 -58 + 17t = 7(3t + 3) + -9 Reorder the terms: -58 + 17t = 7(3 + 3t) + -9 -58 + 17t = (3 * 7 + 3t * 7) + -9 -58 + 17t = (21 + 21t) + -9 Reorder the terms: -58 + 17t = 21 + -9 + 21t Combine like terms: 21 + -9 = 12 -58 + 17t = 12 + 21t Solving -58 + 17t = 12 + 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. -58 + 17t + -21t = 12 + 21t + -21t Combine like terms: 17t + -21t = -4t -58 + -4t = 12 + 21t + -21t Combine like terms: 21t + -21t = 0 -58 + -4t = 12 + 0 -58 + -4t = 12 Add '58' to each side of the equation. -58 + 58 + -4t = 12 + 58 Combine like terms: -58 + 58 = 0 0 + -4t = 12 + 58 -4t = 12 + 58 Combine like terms: 12 + 58 = 70 -4t = 70 Divide each side by '-4'. t = -17.5 Simplifying t = -17.5
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