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Simplifying 17 = 3(t + -5) + 8 Reorder the terms: 17 = 3(-5 + t) + 8 17 = (-5 * 3 + t * 3) + 8 17 = (-15 + 3t) + 8 Reorder the terms: 17 = -15 + 8 + 3t Combine like terms: -15 + 8 = -7 17 = -7 + 3t Solving 17 = -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. 17 + -3t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 17 + -3t = -7 + 0 17 + -3t = -7 Add '-17' to each side of the equation. 17 + -17 + -3t = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -3t = -7 + -17 -3t = -7 + -17 Combine like terms: -7 + -17 = -24 -3t = -24 Divide each side by '-3'. t = 8 Simplifying t = 8
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