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Simplifying 2(t + -3) + -17 = 13 + -3(t + 2) Reorder the terms: 2(-3 + t) + -17 = 13 + -3(t + 2) (-3 * 2 + t * 2) + -17 = 13 + -3(t + 2) (-6 + 2t) + -17 = 13 + -3(t + 2) Reorder the terms: -6 + -17 + 2t = 13 + -3(t + 2) Combine like terms: -6 + -17 = -23 -23 + 2t = 13 + -3(t + 2) Reorder the terms: -23 + 2t = 13 + -3(2 + t) -23 + 2t = 13 + (2 * -3 + t * -3) -23 + 2t = 13 + (-6 + -3t) Combine like terms: 13 + -6 = 7 -23 + 2t = 7 + -3t Solving -23 + 2t = 7 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -23 + 2t + 3t = 7 + -3t + 3t Combine like terms: 2t + 3t = 5t -23 + 5t = 7 + -3t + 3t Combine like terms: -3t + 3t = 0 -23 + 5t = 7 + 0 -23 + 5t = 7 Add '23' to each side of the equation. -23 + 23 + 5t = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 5t = 7 + 23 5t = 7 + 23 Combine like terms: 7 + 23 = 30 5t = 30 Divide each side by '5'. t = 6 Simplifying t = 6
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