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Simplifying 2(5t + -6) = 19t + 7 Reorder the terms: 2(-6 + 5t) = 19t + 7 (-6 * 2 + 5t * 2) = 19t + 7 (-12 + 10t) = 19t + 7 Reorder the terms: -12 + 10t = 7 + 19t Solving -12 + 10t = 7 + 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. -12 + 10t + -19t = 7 + 19t + -19t Combine like terms: 10t + -19t = -9t -12 + -9t = 7 + 19t + -19t Combine like terms: 19t + -19t = 0 -12 + -9t = 7 + 0 -12 + -9t = 7 Add '12' to each side of the equation. -12 + 12 + -9t = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -9t = 7 + 12 -9t = 7 + 12 Combine like terms: 7 + 12 = 19 -9t = 19 Divide each side by '-9'. t = -2.111111111 Simplifying t = -2.111111111
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