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Simplifying -4(2t + -4) + 2t = 7t + -6 Reorder the terms: -4(-4 + 2t) + 2t = 7t + -6 (-4 * -4 + 2t * -4) + 2t = 7t + -6 (16 + -8t) + 2t = 7t + -6 Combine like terms: -8t + 2t = -6t 16 + -6t = 7t + -6 Reorder the terms: 16 + -6t = -6 + 7t Solving 16 + -6t = -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. 16 + -6t + -7t = -6 + 7t + -7t Combine like terms: -6t + -7t = -13t 16 + -13t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 16 + -13t = -6 + 0 16 + -13t = -6 Add '-16' to each side of the equation. 16 + -16 + -13t = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -13t = -6 + -16 -13t = -6 + -16 Combine like terms: -6 + -16 = -22 -13t = -22 Divide each side by '-13'. t = 1.692307692 Simplifying t = 1.692307692
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