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Simplifying t + -1(-4t + 7) = 2(2t + -9) + 2t Reorder the terms: t + -1(7 + -4t) = 2(2t + -9) + 2t t + (7 * -1 + -4t * -1) = 2(2t + -9) + 2t t + (-7 + 4t) = 2(2t + -9) + 2t Reorder the terms: -7 + t + 4t = 2(2t + -9) + 2t Combine like terms: t + 4t = 5t -7 + 5t = 2(2t + -9) + 2t Reorder the terms: -7 + 5t = 2(-9 + 2t) + 2t -7 + 5t = (-9 * 2 + 2t * 2) + 2t -7 + 5t = (-18 + 4t) + 2t Combine like terms: 4t + 2t = 6t -7 + 5t = -18 + 6t Solving -7 + 5t = -18 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -7 + 5t + -6t = -18 + 6t + -6t Combine like terms: 5t + -6t = -1t -7 + -1t = -18 + 6t + -6t Combine like terms: 6t + -6t = 0 -7 + -1t = -18 + 0 -7 + -1t = -18 Add '7' to each side of the equation. -7 + 7 + -1t = -18 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = -18 + 7 -1t = -18 + 7 Combine like terms: -18 + 7 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11
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