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Simplifying 8t + 6 + -3t + -32 = 6t + -42 + 8 Reorder the terms: 6 + -32 + 8t + -3t = 6t + -42 + 8 Combine like terms: 6 + -32 = -26 -26 + 8t + -3t = 6t + -42 + 8 Combine like terms: 8t + -3t = 5t -26 + 5t = 6t + -42 + 8 Reorder the terms: -26 + 5t = -42 + 8 + 6t Combine like terms: -42 + 8 = -34 -26 + 5t = -34 + 6t Solving -26 + 5t = -34 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -26 + 5t + -6t = -34 + 6t + -6t Combine like terms: 5t + -6t = -1t -26 + -1t = -34 + 6t + -6t Combine like terms: 6t + -6t = 0 -26 + -1t = -34 + 0 -26 + -1t = -34 Add '26' to each side of the equation. -26 + 26 + -1t = -34 + 26 Combine like terms: -26 + 26 = 0 0 + -1t = -34 + 26 -1t = -34 + 26 Combine like terms: -34 + 26 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8
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