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Simplifying -4(5t + -4) + 5t = 2t + -8 Reorder the terms: -4(-4 + 5t) + 5t = 2t + -8 (-4 * -4 + 5t * -4) + 5t = 2t + -8 (16 + -20t) + 5t = 2t + -8 Combine like terms: -20t + 5t = -15t 16 + -15t = 2t + -8 Reorder the terms: 16 + -15t = -8 + 2t Solving 16 + -15t = -8 + 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. 16 + -15t + -2t = -8 + 2t + -2t Combine like terms: -15t + -2t = -17t 16 + -17t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 16 + -17t = -8 + 0 16 + -17t = -8 Add '-16' to each side of the equation. 16 + -16 + -17t = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -17t = -8 + -16 -17t = -8 + -16 Combine like terms: -8 + -16 = -24 -17t = -24 Divide each side by '-17'. t = 1.411764706 Simplifying t = 1.411764706
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