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Simplifying 10 + -4(t + 7) = 2(1 + -1t) Reorder the terms: 10 + -4(7 + t) = 2(1 + -1t) 10 + (7 * -4 + t * -4) = 2(1 + -1t) 10 + (-28 + -4t) = 2(1 + -1t) Combine like terms: 10 + -28 = -18 -18 + -4t = 2(1 + -1t) -18 + -4t = (1 * 2 + -1t * 2) -18 + -4t = (2 + -2t) Solving -18 + -4t = 2 + -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. -18 + -4t + 2t = 2 + -2t + 2t Combine like terms: -4t + 2t = -2t -18 + -2t = 2 + -2t + 2t Combine like terms: -2t + 2t = 0 -18 + -2t = 2 + 0 -18 + -2t = 2 Add '18' to each side of the equation. -18 + 18 + -2t = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2t = 2 + 18 -2t = 2 + 18 Combine like terms: 2 + 18 = 20 -2t = 20 Divide each side by '-2'. t = -10 Simplifying t = -10
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