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Simplifying 4t + -1(5t + 1) = 15 Reorder the terms: 4t + -1(1 + 5t) = 15 4t + (1 * -1 + 5t * -1) = 15 4t + (-1 + -5t) = 15 Reorder the terms: -1 + 4t + -5t = 15 Combine like terms: 4t + -5t = -1t -1 + -1t = 15 Solving -1 + -1t = 15 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1t = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -1t = 15 + 1 -1t = 15 + 1 Combine like terms: 15 + 1 = 16 -1t = 16 Divide each side by '-1'. t = -16 Simplifying t = -16
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