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Simplifying 2(5t + -6) = 25t + 7 Reorder the terms: 2(-6 + 5t) = 25t + 7 (-6 * 2 + 5t * 2) = 25t + 7 (-12 + 10t) = 25t + 7 Reorder the terms: -12 + 10t = 7 + 25t Solving -12 + 10t = 7 + 25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25t' to each side of the equation. -12 + 10t + -25t = 7 + 25t + -25t Combine like terms: 10t + -25t = -15t -12 + -15t = 7 + 25t + -25t Combine like terms: 25t + -25t = 0 -12 + -15t = 7 + 0 -12 + -15t = 7 Add '12' to each side of the equation. -12 + 12 + -15t = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -15t = 7 + 12 -15t = 7 + 12 Combine like terms: 7 + 12 = 19 -15t = 19 Divide each side by '-15'. t = -1.266666667 Simplifying t = -1.266666667
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