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Simplifying (4t + -1) = 2(t + 1) * 4 Reorder the terms: (-1 + 4t) = 2(t + 1) * 4 Remove parenthesis around (-1 + 4t) -1 + 4t = 2(t + 1) * 4 Reorder the terms: -1 + 4t = 2(1 + t) * 4 Reorder the terms for easier multiplication: -1 + 4t = 2 * 4(1 + t) Multiply 2 * 4 -1 + 4t = 8(1 + t) -1 + 4t = (1 * 8 + t * 8) -1 + 4t = (8 + 8t) Solving -1 + 4t = 8 + 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. -1 + 4t + -8t = 8 + 8t + -8t Combine like terms: 4t + -8t = -4t -1 + -4t = 8 + 8t + -8t Combine like terms: 8t + -8t = 0 -1 + -4t = 8 + 0 -1 + -4t = 8 Add '1' to each side of the equation. -1 + 1 + -4t = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -4t = 8 + 1 -4t = 8 + 1 Combine like terms: 8 + 1 = 9 -4t = 9 Divide each side by '-4'. t = -2.25 Simplifying t = -2.25
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