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Simplifying 8 + 3(2t + -5) + -3(4t + 6) + -8 = 0 Reorder the terms: 8 + 3(-5 + 2t) + -3(4t + 6) + -8 = 0 8 + (-5 * 3 + 2t * 3) + -3(4t + 6) + -8 = 0 8 + (-15 + 6t) + -3(4t + 6) + -8 = 0 Reorder the terms: 8 + -15 + 6t + -3(6 + 4t) + -8 = 0 8 + -15 + 6t + (6 * -3 + 4t * -3) + -8 = 0 8 + -15 + 6t + (-18 + -12t) + -8 = 0 Reorder the terms: 8 + -15 + -18 + -8 + 6t + -12t = 0 Combine like terms: 8 + -15 = -7 -7 + -18 + -8 + 6t + -12t = 0 Combine like terms: -7 + -18 = -25 -25 + -8 + 6t + -12t = 0 Combine like terms: -25 + -8 = -33 -33 + 6t + -12t = 0 Combine like terms: 6t + -12t = -6t -33 + -6t = 0 Solving -33 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -6t = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -6t = 0 + 33 -6t = 0 + 33 Combine like terms: 0 + 33 = 33 -6t = 33 Divide each side by '-6'. t = -5.5 Simplifying t = -5.5
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