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Simplifying 2t + -12 = 10 + 5(t + 9) Reorder the terms: -12 + 2t = 10 + 5(t + 9) Reorder the terms: -12 + 2t = 10 + 5(9 + t) -12 + 2t = 10 + (9 * 5 + t * 5) -12 + 2t = 10 + (45 + 5t) Combine like terms: 10 + 45 = 55 -12 + 2t = 55 + 5t Solving -12 + 2t = 55 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -12 + 2t + -5t = 55 + 5t + -5t Combine like terms: 2t + -5t = -3t -12 + -3t = 55 + 5t + -5t Combine like terms: 5t + -5t = 0 -12 + -3t = 55 + 0 -12 + -3t = 55 Add '12' to each side of the equation. -12 + 12 + -3t = 55 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = 55 + 12 -3t = 55 + 12 Combine like terms: 55 + 12 = 67 -3t = 67 Divide each side by '-3'. t = -22.33333333 Simplifying t = -22.33333333
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