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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 = 19 -30 + -20t + 10 + -2(19) = 0 Multiply -2 * 19 -30 + -20t + 10 + -38 = 0 Reorder the terms: -30 + 10 + -38 + -20t = 0 Combine like terms: -30 + 10 = -20 -20 + -38 + -20t = 0 Combine like terms: -20 + -38 = -58 -58 + -20t = 0 Solving -58 + -20t = 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 + -20t = 0 + 58 Combine like terms: -58 + 58 = 0 0 + -20t = 0 + 58 -20t = 0 + 58 Combine like terms: 0 + 58 = 58 -20t = 58 Divide each side by '-20'. t = -2.9 Simplifying t = -2.9
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