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Simplifying 3t + -1(-12t) + -15t + (-20t) + -1(-8) = -12 Remove parenthesis around (-12t) 3t + -1 * -12t + -15t + (-20t) + -1(-8) = -12 Multiply -1 * -12 3t + 12t + -15t + (-20t) + -1(-8) = -12 Multiply -1 * -8 3t + 12t + -15t + (-20t) + 8 = -12 Reorder the terms: 8 + 3t + 12t + -15t + (-20t) = -12 Combine like terms: 3t + 12t = 15t 8 + 15t + -15t + (-20t) = -12 Combine like terms: 15t + -15t = 0 8 + 0 + (-20t) = -12 8 + (-20t) = -12 Solving 8 + (-20t) = -12 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 + (-20t) = -12 + -8 Combine like terms: 8 + -8 = 0 0 + (-20t) = -12 + -8 (-20t) = -12 + -8 Combine like terms: -12 + -8 = -20 (-20t) = -20 Divide each side by '-20'. t = 1 Simplifying t = 1
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