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Simplifying 10(-3 + -2t) + 10 + -2(6 + -13) = 0 (-3 * 10 + -2t * 10) + 10 + -2(6 + -13) = 0 (-30 + -20t) + 10 + -2(6 + -13) = 0 Combine like terms: 6 + -13 = -7 -30 + -20t + 10 + -2(-7) = 0 Multiply -2 * -7 -30 + -20t + 10 + 14 = 0 Reorder the terms: -30 + 10 + 14 + -20t = 0 Combine like terms: -30 + 10 = -20 -20 + 14 + -20t = 0 Combine like terms: -20 + 14 = -6 -6 + -20t = 0 Solving -6 + -20t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -20t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -20t = 0 + 6 -20t = 0 + 6 Combine like terms: 0 + 6 = 6 -20t = 6 Divide each side by '-20'. t = -0.3 Simplifying t = -0.3
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