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Simplifying -3(5t + -3) + 5t = 7t + -3 Reorder the terms: -3(-3 + 5t) + 5t = 7t + -3 (-3 * -3 + 5t * -3) + 5t = 7t + -3 (9 + -15t) + 5t = 7t + -3 Combine like terms: -15t + 5t = -10t 9 + -10t = 7t + -3 Reorder the terms: 9 + -10t = -3 + 7t Solving 9 + -10t = -3 + 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. 9 + -10t + -7t = -3 + 7t + -7t Combine like terms: -10t + -7t = -17t 9 + -17t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 9 + -17t = -3 + 0 9 + -17t = -3 Add '-9' to each side of the equation. 9 + -9 + -17t = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -17t = -3 + -9 -17t = -3 + -9 Combine like terms: -3 + -9 = -12 -17t = -12 Divide each side by '-17'. t = 0.7058823529 Simplifying t = 0.7058823529
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