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Simplifying -3(5t + -4) + 8t = 7t + -5 Reorder the terms: -3(-4 + 5t) + 8t = 7t + -5 (-4 * -3 + 5t * -3) + 8t = 7t + -5 (12 + -15t) + 8t = 7t + -5 Combine like terms: -15t + 8t = -7t 12 + -7t = 7t + -5 Reorder the terms: 12 + -7t = -5 + 7t Solving 12 + -7t = -5 + 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. 12 + -7t + -7t = -5 + 7t + -7t Combine like terms: -7t + -7t = -14t 12 + -14t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 12 + -14t = -5 + 0 12 + -14t = -5 Add '-12' to each side of the equation. 12 + -12 + -14t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -14t = -5 + -12 -14t = -5 + -12 Combine like terms: -5 + -12 = -17 -14t = -17 Divide each side by '-14'. t = 1.214285714 Simplifying t = 1.214285714
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