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Simplifying 5 + 4(-2) = 2(t + 7) + 1 Multiply 4 * -2 5 + -8 = 2(t + 7) + 1 Combine like terms: 5 + -8 = -3 -3 = 2(t + 7) + 1 Reorder the terms: -3 = 2(7 + t) + 1 -3 = (7 * 2 + t * 2) + 1 -3 = (14 + 2t) + 1 Reorder the terms: -3 = 14 + 1 + 2t Combine like terms: 14 + 1 = 15 -3 = 15 + 2t Solving -3 = 15 + 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. -3 + -2t = 15 + 2t + -2t Combine like terms: 2t + -2t = 0 -3 + -2t = 15 + 0 -3 + -2t = 15 Add '3' to each side of the equation. -3 + 3 + -2t = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -2t = 15 + 3 -2t = 15 + 3 Combine like terms: 15 + 3 = 18 -2t = 18 Divide each side by '-2'. t = -9 Simplifying t = -9
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