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Simplifying -9 = 2(t + -5) + -1t Reorder the terms: -9 = 2(-5 + t) + -1t -9 = (-5 * 2 + t * 2) + -1t -9 = (-10 + 2t) + -1t Combine like terms: 2t + -1t = 1t -9 = -10 + 1t Solving -9 = -10 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -9 + -1t = -10 + 1t + -1t Combine like terms: 1t + -1t = 0 -9 + -1t = -10 + 0 -9 + -1t = -10 Add '9' to each side of the equation. -9 + 9 + -1t = -10 + 9 Combine like terms: -9 + 9 = 0 0 + -1t = -10 + 9 -1t = -10 + 9 Combine like terms: -10 + 9 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1
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