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Simplifying 10(-3 + -2t) + 10 + -2(6t + -14) = 0 (-3 * 10 + -2t * 10) + 10 + -2(6t + -14) = 0 (-30 + -20t) + 10 + -2(6t + -14) = 0 Reorder the terms: -30 + -20t + 10 + -2(-14 + 6t) = 0 -30 + -20t + 10 + (-14 * -2 + 6t * -2) = 0 -30 + -20t + 10 + (28 + -12t) = 0 Reorder the terms: -30 + 10 + 28 + -20t + -12t = 0 Combine like terms: -30 + 10 = -20 -20 + 28 + -20t + -12t = 0 Combine like terms: -20 + 28 = 8 8 + -20t + -12t = 0 Combine like terms: -20t + -12t = -32t 8 + -32t = 0 Solving 8 + -32t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -32t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -32t = 0 + -8 -32t = 0 + -8 Combine like terms: 0 + -8 = -8 -32t = -8 Divide each side by '-32'. t = 0.25 Simplifying t = 0.25
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