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Simplifying 2(3t + -6) = 10t + -1t + -6 Reorder the terms: 2(-6 + 3t) = 10t + -1t + -6 (-6 * 2 + 3t * 2) = 10t + -1t + -6 (-12 + 6t) = 10t + -1t + -6 Reorder the terms: -12 + 6t = -6 + 10t + -1t Combine like terms: 10t + -1t = 9t -12 + 6t = -6 + 9t Solving -12 + 6t = -6 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -12 + 6t + -9t = -6 + 9t + -9t Combine like terms: 6t + -9t = -3t -12 + -3t = -6 + 9t + -9t Combine like terms: 9t + -9t = 0 -12 + -3t = -6 + 0 -12 + -3t = -6 Add '12' to each side of the equation. -12 + 12 + -3t = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = -6 + 12 -3t = -6 + 12 Combine like terms: -6 + 12 = 6 -3t = 6 Divide each side by '-3'. t = -2 Simplifying t = -2
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