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Simplifying 7(2t + -3) + 2(3t + 2) = t + 5 Reorder the terms: 7(-3 + 2t) + 2(3t + 2) = t + 5 (-3 * 7 + 2t * 7) + 2(3t + 2) = t + 5 (-21 + 14t) + 2(3t + 2) = t + 5 Reorder the terms: -21 + 14t + 2(2 + 3t) = t + 5 -21 + 14t + (2 * 2 + 3t * 2) = t + 5 -21 + 14t + (4 + 6t) = t + 5 Reorder the terms: -21 + 4 + 14t + 6t = t + 5 Combine like terms: -21 + 4 = -17 -17 + 14t + 6t = t + 5 Combine like terms: 14t + 6t = 20t -17 + 20t = t + 5 Reorder the terms: -17 + 20t = 5 + t Solving -17 + 20t = 5 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -17 + 20t + -1t = 5 + t + -1t Combine like terms: 20t + -1t = 19t -17 + 19t = 5 + t + -1t Combine like terms: t + -1t = 0 -17 + 19t = 5 + 0 -17 + 19t = 5 Add '17' to each side of the equation. -17 + 17 + 19t = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 19t = 5 + 17 19t = 5 + 17 Combine like terms: 5 + 17 = 22 19t = 22 Divide each side by '19'. t = 1.157894737 Simplifying t = 1.157894737
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