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Simplifying -3(t + -1) + 5t = 6t + -6 Reorder the terms: -3(-1 + t) + 5t = 6t + -6 (-1 * -3 + t * -3) + 5t = 6t + -6 (3 + -3t) + 5t = 6t + -6 Combine like terms: -3t + 5t = 2t 3 + 2t = 6t + -6 Reorder the terms: 3 + 2t = -6 + 6t Solving 3 + 2t = -6 + 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. 3 + 2t + -6t = -6 + 6t + -6t Combine like terms: 2t + -6t = -4t 3 + -4t = -6 + 6t + -6t Combine like terms: 6t + -6t = 0 3 + -4t = -6 + 0 3 + -4t = -6 Add '-3' to each side of the equation. 3 + -3 + -4t = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = -6 + -3 -4t = -6 + -3 Combine like terms: -6 + -3 = -9 -4t = -9 Divide each side by '-4'. t = 2.25 Simplifying t = 2.25
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