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Simplifying 10(2t + 7) + -1(12 + -1t) = 0 Reorder the terms: 10(7 + 2t) + -1(12 + -1t) = 0 (7 * 10 + 2t * 10) + -1(12 + -1t) = 0 (70 + 20t) + -1(12 + -1t) = 0 70 + 20t + (12 * -1 + -1t * -1) = 0 70 + 20t + (-12 + 1t) = 0 Reorder the terms: 70 + -12 + 20t + 1t = 0 Combine like terms: 70 + -12 = 58 58 + 20t + 1t = 0 Combine like terms: 20t + 1t = 21t 58 + 21t = 0 Solving 58 + 21t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 21t = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 21t = 0 + -58 21t = 0 + -58 Combine like terms: 0 + -58 = -58 21t = -58 Divide each side by '21'. t = -2.761904762 Simplifying t = -2.761904762
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