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Simplifying -4(5t + -2) + 7t = 2t + -6 Reorder the terms: -4(-2 + 5t) + 7t = 2t + -6 (-2 * -4 + 5t * -4) + 7t = 2t + -6 (8 + -20t) + 7t = 2t + -6 Combine like terms: -20t + 7t = -13t 8 + -13t = 2t + -6 Reorder the terms: 8 + -13t = -6 + 2t Solving 8 + -13t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 8 + -13t + -2t = -6 + 2t + -2t Combine like terms: -13t + -2t = -15t 8 + -15t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + -15t = -6 + 0 8 + -15t = -6 Add '-8' to each side of the equation. 8 + -8 + -15t = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -15t = -6 + -8 -15t = -6 + -8 Combine like terms: -6 + -8 = -14 -15t = -14 Divide each side by '-15'. t = 0.9333333333 Simplifying t = 0.9333333333
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