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Simplifying -3(5t + -3) + 5t = 6t + -4 Reorder the terms: -3(-3 + 5t) + 5t = 6t + -4 (-3 * -3 + 5t * -3) + 5t = 6t + -4 (9 + -15t) + 5t = 6t + -4 Combine like terms: -15t + 5t = -10t 9 + -10t = 6t + -4 Reorder the terms: 9 + -10t = -4 + 6t Solving 9 + -10t = -4 + 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. 9 + -10t + -6t = -4 + 6t + -6t Combine like terms: -10t + -6t = -16t 9 + -16t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 9 + -16t = -4 + 0 9 + -16t = -4 Add '-9' to each side of the equation. 9 + -9 + -16t = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -16t = -4 + -9 -16t = -4 + -9 Combine like terms: -4 + -9 = -13 -16t = -13 Divide each side by '-16'. t = 0.8125 Simplifying t = 0.8125
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