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Simplifying 35 + -10(3t + 8) = 0 Reorder the terms: 35 + -10(8 + 3t) = 0 35 + (8 * -10 + 3t * -10) = 0 35 + (-80 + -30t) = 0 Combine like terms: 35 + -80 = -45 -45 + -30t = 0 Solving -45 + -30t = 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 + -30t = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -30t = 0 + 45 -30t = 0 + 45 Combine like terms: 0 + 45 = 45 -30t = 45 Divide each side by '-30'. t = -1.5 Simplifying t = -1.5
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