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Simplifying 8 = 3(t + -17) + 2 Reorder the terms: 8 = 3(-17 + t) + 2 8 = (-17 * 3 + t * 3) + 2 8 = (-51 + 3t) + 2 Reorder the terms: 8 = -51 + 2 + 3t Combine like terms: -51 + 2 = -49 8 = -49 + 3t Solving 8 = -49 + 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. 8 + -3t = -49 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + -3t = -49 + 0 8 + -3t = -49 Add '-8' to each side of the equation. 8 + -8 + -3t = -49 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = -49 + -8 -3t = -49 + -8 Combine like terms: -49 + -8 = -57 -3t = -57 Divide each side by '-3'. t = 19 Simplifying t = 19
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