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Simplifying -4(5t + -4) + 5t = 8t + -2 Reorder the terms: -4(-4 + 5t) + 5t = 8t + -2 (-4 * -4 + 5t * -4) + 5t = 8t + -2 (16 + -20t) + 5t = 8t + -2 Combine like terms: -20t + 5t = -15t 16 + -15t = 8t + -2 Reorder the terms: 16 + -15t = -2 + 8t Solving 16 + -15t = -2 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 16 + -15t + -8t = -2 + 8t + -8t Combine like terms: -15t + -8t = -23t 16 + -23t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 16 + -23t = -2 + 0 16 + -23t = -2 Add '-16' to each side of the equation. 16 + -16 + -23t = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -23t = -2 + -16 -23t = -2 + -16 Combine like terms: -2 + -16 = -18 -23t = -18 Divide each side by '-23'. t = 0.7826086957 Simplifying t = 0.7826086957
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