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Simplifying -3(5t + -5) + 7t = 2t + -6 Reorder the terms: -3(-5 + 5t) + 7t = 2t + -6 (-5 * -3 + 5t * -3) + 7t = 2t + -6 (15 + -15t) + 7t = 2t + -6 Combine like terms: -15t + 7t = -8t 15 + -8t = 2t + -6 Reorder the terms: 15 + -8t = -6 + 2t Solving 15 + -8t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 15 + -8t + -2t = -6 + 2t + -2t Combine like terms: -8t + -2t = -10t 15 + -10t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 15 + -10t = -6 + 0 15 + -10t = -6 Add '-15' to each side of the equation. 15 + -15 + -10t = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -10t = -6 + -15 -10t = -6 + -15 Combine like terms: -6 + -15 = -21 -10t = -21 Divide each side by '-10'. t = 2.1 Simplifying t = 2.1
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