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Simplifying 4(t + -1) + 3 = 2t + 10 Reorder the terms: 4(-1 + t) + 3 = 2t + 10 (-1 * 4 + t * 4) + 3 = 2t + 10 (-4 + 4t) + 3 = 2t + 10 Reorder the terms: -4 + 3 + 4t = 2t + 10 Combine like terms: -4 + 3 = -1 -1 + 4t = 2t + 10 Reorder the terms: -1 + 4t = 10 + 2t Solving -1 + 4t = 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. -1 + 4t + -2t = 10 + 2t + -2t Combine like terms: 4t + -2t = 2t -1 + 2t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 -1 + 2t = 10 + 0 -1 + 2t = 10 Add '1' to each side of the equation. -1 + 1 + 2t = 10 + 1 Combine like terms: -1 + 1 = 0 0 + 2t = 10 + 1 2t = 10 + 1 Combine like terms: 10 + 1 = 11 2t = 11 Divide each side by '2'. t = 5.5 Simplifying t = 5.5
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