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Simplifying -5(3t + -2) + 3t = 6t + -3 Reorder the terms: -5(-2 + 3t) + 3t = 6t + -3 (-2 * -5 + 3t * -5) + 3t = 6t + -3 (10 + -15t) + 3t = 6t + -3 Combine like terms: -15t + 3t = -12t 10 + -12t = 6t + -3 Reorder the terms: 10 + -12t = -3 + 6t Solving 10 + -12t = -3 + 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. 10 + -12t + -6t = -3 + 6t + -6t Combine like terms: -12t + -6t = -18t 10 + -18t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 10 + -18t = -3 + 0 10 + -18t = -3 Add '-10' to each side of the equation. 10 + -10 + -18t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -18t = -3 + -10 -18t = -3 + -10 Combine like terms: -3 + -10 = -13 -18t = -13 Divide each side by '-18'. t = 0.7222222222 Simplifying t = 0.7222222222
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