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Simplifying 10(-3 + -2t) + 10 + -1(6t + -13) = 0 (-3 * 10 + -2t * 10) + 10 + -1(6t + -13) = 0 (-30 + -20t) + 10 + -1(6t + -13) = 0 Reorder the terms: -30 + -20t + 10 + -1(-13 + 6t) = 0 -30 + -20t + 10 + (-13 * -1 + 6t * -1) = 0 -30 + -20t + 10 + (13 + -6t) = 0 Reorder the terms: -30 + 10 + 13 + -20t + -6t = 0 Combine like terms: -30 + 10 = -20 -20 + 13 + -20t + -6t = 0 Combine like terms: -20 + 13 = -7 -7 + -20t + -6t = 0 Combine like terms: -20t + -6t = -26t -7 + -26t = 0 Solving -7 + -26t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -26t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -26t = 0 + 7 -26t = 0 + 7 Combine like terms: 0 + 7 = 7 -26t = 7 Divide each side by '-26'. t = -0.2692307692 Simplifying t = -0.2692307692
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