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Simplifying -5(3t + -3) + 6t = 7t + -2 Reorder the terms: -5(-3 + 3t) + 6t = 7t + -2 (-3 * -5 + 3t * -5) + 6t = 7t + -2 (15 + -15t) + 6t = 7t + -2 Combine like terms: -15t + 6t = -9t 15 + -9t = 7t + -2 Reorder the terms: 15 + -9t = -2 + 7t Solving 15 + -9t = -2 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 15 + -9t + -7t = -2 + 7t + -7t Combine like terms: -9t + -7t = -16t 15 + -16t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 15 + -16t = -2 + 0 15 + -16t = -2 Add '-15' to each side of the equation. 15 + -15 + -16t = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -16t = -2 + -15 -16t = -2 + -15 Combine like terms: -2 + -15 = -17 -16t = -17 Divide each side by '-16'. t = 1.0625 Simplifying t = 1.0625
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