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Simplifying -4(2t + -2) + 2t = 7t + -2 Reorder the terms: -4(-2 + 2t) + 2t = 7t + -2 (-2 * -4 + 2t * -4) + 2t = 7t + -2 (8 + -8t) + 2t = 7t + -2 Combine like terms: -8t + 2t = -6t 8 + -6t = 7t + -2 Reorder the terms: 8 + -6t = -2 + 7t Solving 8 + -6t = -2 + 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. 8 + -6t + -7t = -2 + 7t + -7t Combine like terms: -6t + -7t = -13t 8 + -13t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -13t = -2 + 0 8 + -13t = -2 Add '-8' to each side of the equation. 8 + -8 + -13t = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -13t = -2 + -8 -13t = -2 + -8 Combine like terms: -2 + -8 = -10 -13t = -10 Divide each side by '-13'. t = 0.7692307692 Simplifying t = 0.7692307692
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