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Simplifying -3(t + -5) + 5t = 7t + -6 Reorder the terms: -3(-5 + t) + 5t = 7t + -6 (-5 * -3 + t * -3) + 5t = 7t + -6 (15 + -3t) + 5t = 7t + -6 Combine like terms: -3t + 5t = 2t 15 + 2t = 7t + -6 Reorder the terms: 15 + 2t = -6 + 7t Solving 15 + 2t = -6 + 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 + 2t + -7t = -6 + 7t + -7t Combine like terms: 2t + -7t = -5t 15 + -5t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 15 + -5t = -6 + 0 15 + -5t = -6 Add '-15' to each side of the equation. 15 + -15 + -5t = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -5t = -6 + -15 -5t = -6 + -15 Combine like terms: -6 + -15 = -21 -5t = -21 Divide each side by '-5'. t = 4.2 Simplifying t = 4.2
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