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Simplifying 9(t + -1) + -7t + 2 = t + -12 Reorder the terms: 9(-1 + t) + -7t + 2 = t + -12 (-1 * 9 + t * 9) + -7t + 2 = t + -12 (-9 + 9t) + -7t + 2 = t + -12 Reorder the terms: -9 + 2 + 9t + -7t = t + -12 Combine like terms: -9 + 2 = -7 -7 + 9t + -7t = t + -12 Combine like terms: 9t + -7t = 2t -7 + 2t = t + -12 Reorder the terms: -7 + 2t = -12 + t Solving -7 + 2t = -12 + t 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. -7 + 2t + -1t = -12 + t + -1t Combine like terms: 2t + -1t = 1t -7 + 1t = -12 + t + -1t Combine like terms: t + -1t = 0 -7 + 1t = -12 + 0 -7 + 1t = -12 Add '7' to each side of the equation. -7 + 7 + 1t = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 1t = -12 + 7 1t = -12 + 7 Combine like terms: -12 + 7 = -5 1t = -5 Divide each side by '1'. t = -5 Simplifying t = -5
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