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Simplifying 7 + 3(2t + -7) + -3(4t + 8) + -7 = 0 Reorder the terms: 7 + 3(-7 + 2t) + -3(4t + 8) + -7 = 0 7 + (-7 * 3 + 2t * 3) + -3(4t + 8) + -7 = 0 7 + (-21 + 6t) + -3(4t + 8) + -7 = 0 Reorder the terms: 7 + -21 + 6t + -3(8 + 4t) + -7 = 0 7 + -21 + 6t + (8 * -3 + 4t * -3) + -7 = 0 7 + -21 + 6t + (-24 + -12t) + -7 = 0 Reorder the terms: 7 + -21 + -24 + -7 + 6t + -12t = 0 Combine like terms: 7 + -21 = -14 -14 + -24 + -7 + 6t + -12t = 0 Combine like terms: -14 + -24 = -38 -38 + -7 + 6t + -12t = 0 Combine like terms: -38 + -7 = -45 -45 + 6t + -12t = 0 Combine like terms: 6t + -12t = -6t -45 + -6t = 0 Solving -45 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -6t = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -6t = 0 + 45 -6t = 0 + 45 Combine like terms: 0 + 45 = 45 -6t = 45 Divide each side by '-6'. t = -7.5 Simplifying t = -7.5
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