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Simplifying 4 + -1(t + -1) + 6t + -2 = t + -17 Reorder the terms: 4 + -1(-1 + t) + 6t + -2 = t + -17 4 + (-1 * -1 + t * -1) + 6t + -2 = t + -17 4 + (1 + -1t) + 6t + -2 = t + -17 Reorder the terms: 4 + 1 + -2 + -1t + 6t = t + -17 Combine like terms: 4 + 1 = 5 5 + -2 + -1t + 6t = t + -17 Combine like terms: 5 + -2 = 3 3 + -1t + 6t = t + -17 Combine like terms: -1t + 6t = 5t 3 + 5t = t + -17 Reorder the terms: 3 + 5t = -17 + t Solving 3 + 5t = -17 + 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. 3 + 5t + -1t = -17 + t + -1t Combine like terms: 5t + -1t = 4t 3 + 4t = -17 + t + -1t Combine like terms: t + -1t = 0 3 + 4t = -17 + 0 3 + 4t = -17 Add '-3' to each side of the equation. 3 + -3 + 4t = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 4t = -17 + -3 4t = -17 + -3 Combine like terms: -17 + -3 = -20 4t = -20 Divide each side by '4'. t = -5 Simplifying t = -5
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