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Simplifying 4 + -3(5t + 1) = 5t + -4 Reorder the terms: 4 + -3(1 + 5t) = 5t + -4 4 + (1 * -3 + 5t * -3) = 5t + -4 4 + (-3 + -15t) = 5t + -4 Combine like terms: 4 + -3 = 1 1 + -15t = 5t + -4 Reorder the terms: 1 + -15t = -4 + 5t Solving 1 + -15t = -4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1 + -15t + -5t = -4 + 5t + -5t Combine like terms: -15t + -5t = -20t 1 + -20t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + -20t = -4 + 0 1 + -20t = -4 Add '-1' to each side of the equation. 1 + -1 + -20t = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -20t = -4 + -1 -20t = -4 + -1 Combine like terms: -4 + -1 = -5 -20t = -5 Divide each side by '-20'. t = 0.25 Simplifying t = 0.25
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