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Simplifying -4(5t + 4) + 7t = 6t + -2 Reorder the terms: -4(4 + 5t) + 7t = 6t + -2 (4 * -4 + 5t * -4) + 7t = 6t + -2 (-16 + -20t) + 7t = 6t + -2 Combine like terms: -20t + 7t = -13t -16 + -13t = 6t + -2 Reorder the terms: -16 + -13t = -2 + 6t Solving -16 + -13t = -2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -16 + -13t + -6t = -2 + 6t + -6t Combine like terms: -13t + -6t = -19t -16 + -19t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 -16 + -19t = -2 + 0 -16 + -19t = -2 Add '16' to each side of the equation. -16 + 16 + -19t = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -19t = -2 + 16 -19t = -2 + 16 Combine like terms: -2 + 16 = 14 -19t = 14 Divide each side by '-19'. t = -0.7368421053 Simplifying t = -0.7368421053
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