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Simplifying 2(2t + 2) + -6(t + -1) = 6 + -1t Reorder the terms: 2(2 + 2t) + -6(t + -1) = 6 + -1t (2 * 2 + 2t * 2) + -6(t + -1) = 6 + -1t (4 + 4t) + -6(t + -1) = 6 + -1t Reorder the terms: 4 + 4t + -6(-1 + t) = 6 + -1t 4 + 4t + (-1 * -6 + t * -6) = 6 + -1t 4 + 4t + (6 + -6t) = 6 + -1t Reorder the terms: 4 + 6 + 4t + -6t = 6 + -1t Combine like terms: 4 + 6 = 10 10 + 4t + -6t = 6 + -1t Combine like terms: 4t + -6t = -2t 10 + -2t = 6 + -1t Solving 10 + -2t = 6 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 10 + -2t + t = 6 + -1t + t Combine like terms: -2t + t = -1t 10 + -1t = 6 + -1t + t Combine like terms: -1t + t = 0 10 + -1t = 6 + 0 10 + -1t = 6 Add '-10' to each side of the equation. 10 + -10 + -1t = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 6 + -10 -1t = 6 + -10 Combine like terms: 6 + -10 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4
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