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Simplifying 3(t + -7) + 4(8 + -2t) + -7 = -4(t + 2) + -6 Reorder the terms: 3(-7 + t) + 4(8 + -2t) + -7 = -4(t + 2) + -6 (-7 * 3 + t * 3) + 4(8 + -2t) + -7 = -4(t + 2) + -6 (-21 + 3t) + 4(8 + -2t) + -7 = -4(t + 2) + -6 -21 + 3t + (8 * 4 + -2t * 4) + -7 = -4(t + 2) + -6 -21 + 3t + (32 + -8t) + -7 = -4(t + 2) + -6 Reorder the terms: -21 + 32 + -7 + 3t + -8t = -4(t + 2) + -6 Combine like terms: -21 + 32 = 11 11 + -7 + 3t + -8t = -4(t + 2) + -6 Combine like terms: 11 + -7 = 4 4 + 3t + -8t = -4(t + 2) + -6 Combine like terms: 3t + -8t = -5t 4 + -5t = -4(t + 2) + -6 Reorder the terms: 4 + -5t = -4(2 + t) + -6 4 + -5t = (2 * -4 + t * -4) + -6 4 + -5t = (-8 + -4t) + -6 Reorder the terms: 4 + -5t = -8 + -6 + -4t Combine like terms: -8 + -6 = -14 4 + -5t = -14 + -4t Solving 4 + -5t = -14 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 4 + -5t + 4t = -14 + -4t + 4t Combine like terms: -5t + 4t = -1t 4 + -1t = -14 + -4t + 4t Combine like terms: -4t + 4t = 0 4 + -1t = -14 + 0 4 + -1t = -14 Add '-4' to each side of the equation. 4 + -4 + -1t = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = -14 + -4 -1t = -14 + -4 Combine like terms: -14 + -4 = -18 -1t = -18 Divide each side by '-1'. t = 18 Simplifying t = 18
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