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Simplifying 2 * 5t + -2 * 6 = t + 6 Multiply 2 * 5 10t + -2 * 6 = t + 6 Multiply -2 * 6 10t + -12 = t + 6 Reorder the terms: -12 + 10t = t + 6 Reorder the terms: -12 + 10t = 6 + t Solving -12 + 10t = 6 + 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. -12 + 10t + -1t = 6 + t + -1t Combine like terms: 10t + -1t = 9t -12 + 9t = 6 + t + -1t Combine like terms: t + -1t = 0 -12 + 9t = 6 + 0 -12 + 9t = 6 Add '12' to each side of the equation. -12 + 12 + 9t = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9t = 6 + 12 9t = 6 + 12 Combine like terms: 6 + 12 = 18 9t = 18 Divide each side by '9'. t = 2 Simplifying t = 2
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