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Simplifying -4(t + -1) + 6t = 5t + -1 Reorder the terms: -4(-1 + t) + 6t = 5t + -1 (-1 * -4 + t * -4) + 6t = 5t + -1 (4 + -4t) + 6t = 5t + -1 Combine like terms: -4t + 6t = 2t 4 + 2t = 5t + -1 Reorder the terms: 4 + 2t = -1 + 5t Solving 4 + 2t = -1 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 4 + 2t + -5t = -1 + 5t + -5t Combine like terms: 2t + -5t = -3t 4 + -3t = -1 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -3t = -1 + 0 4 + -3t = -1 Add '-4' to each side of the equation. 4 + -4 + -3t = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = -1 + -4 -3t = -1 + -4 Combine like terms: -1 + -4 = -5 -3t = -5 Divide each side by '-3'. t = 1.666666667 Simplifying t = 1.666666667
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