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Simplifying -2(5t + -4) + 7t = 3t + -3 Reorder the terms: -2(-4 + 5t) + 7t = 3t + -3 (-4 * -2 + 5t * -2) + 7t = 3t + -3 (8 + -10t) + 7t = 3t + -3 Combine like terms: -10t + 7t = -3t 8 + -3t = 3t + -3 Reorder the terms: 8 + -3t = -3 + 3t Solving 8 + -3t = -3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 8 + -3t + -3t = -3 + 3t + -3t Combine like terms: -3t + -3t = -6t 8 + -6t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + -6t = -3 + 0 8 + -6t = -3 Add '-8' to each side of the equation. 8 + -8 + -6t = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = -3 + -8 -6t = -3 + -8 Combine like terms: -3 + -8 = -11 -6t = -11 Divide each side by '-6'. t = 1.833333333 Simplifying t = 1.833333333
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