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Simplifying 2(5t + -6) = 15t + 7 Reorder the terms: 2(-6 + 5t) = 15t + 7 (-6 * 2 + 5t * 2) = 15t + 7 (-12 + 10t) = 15t + 7 Reorder the terms: -12 + 10t = 7 + 15t Solving -12 + 10t = 7 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -12 + 10t + -15t = 7 + 15t + -15t Combine like terms: 10t + -15t = -5t -12 + -5t = 7 + 15t + -15t Combine like terms: 15t + -15t = 0 -12 + -5t = 7 + 0 -12 + -5t = 7 Add '12' to each side of the equation. -12 + 12 + -5t = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -5t = 7 + 12 -5t = 7 + 12 Combine like terms: 7 + 12 = 19 -5t = 19 Divide each side by '-5'. t = -3.8 Simplifying t = -3.8
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