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Simplifying -4(3t + -3) + 2t = 5t + -2 Reorder the terms: -4(-3 + 3t) + 2t = 5t + -2 (-3 * -4 + 3t * -4) + 2t = 5t + -2 (12 + -12t) + 2t = 5t + -2 Combine like terms: -12t + 2t = -10t 12 + -10t = 5t + -2 Reorder the terms: 12 + -10t = -2 + 5t Solving 12 + -10t = -2 + 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. 12 + -10t + -5t = -2 + 5t + -5t Combine like terms: -10t + -5t = -15t 12 + -15t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 12 + -15t = -2 + 0 12 + -15t = -2 Add '-12' to each side of the equation. 12 + -12 + -15t = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -15t = -2 + -12 -15t = -2 + -12 Combine like terms: -2 + -12 = -14 -15t = -14 Divide each side by '-15'. t = 0.9333333333 Simplifying t = 0.9333333333
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