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Simplifying -4(5t + -3) = 2t + 10 Reorder the terms: -4(-3 + 5t) = 2t + 10 (-3 * -4 + 5t * -4) = 2t + 10 (12 + -20t) = 2t + 10 Reorder the terms: 12 + -20t = 10 + 2t Solving 12 + -20t = 10 + 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. 12 + -20t + -2t = 10 + 2t + -2t Combine like terms: -20t + -2t = -22t 12 + -22t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + -22t = 10 + 0 12 + -22t = 10 Add '-12' to each side of the equation. 12 + -12 + -22t = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -22t = 10 + -12 -22t = 10 + -12 Combine like terms: 10 + -12 = -2 -22t = -2 Divide each side by '-22'. t = 0.09090909091 Simplifying t = 0.09090909091
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