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Simplifying 10(-3 + -2t) + -2(6t + -13) = 0 (-3 * 10 + -2t * 10) + -2(6t + -13) = 0 (-30 + -20t) + -2(6t + -13) = 0 Reorder the terms: -30 + -20t + -2(-13 + 6t) = 0 -30 + -20t + (-13 * -2 + 6t * -2) = 0 -30 + -20t + (26 + -12t) = 0 Reorder the terms: -30 + 26 + -20t + -12t = 0 Combine like terms: -30 + 26 = -4 -4 + -20t + -12t = 0 Combine like terms: -20t + -12t = -32t -4 + -32t = 0 Solving -4 + -32t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -32t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -32t = 0 + 4 -32t = 0 + 4 Combine like terms: 0 + 4 = 4 -32t = 4 Divide each side by '-32'. t = -0.125 Simplifying t = -0.125
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