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Simplifying 2(t + -6) + -7(-2t + -3) = 15(t + 2) + 3 Reorder the terms: 2(-6 + t) + -7(-2t + -3) = 15(t + 2) + 3 (-6 * 2 + t * 2) + -7(-2t + -3) = 15(t + 2) + 3 (-12 + 2t) + -7(-2t + -3) = 15(t + 2) + 3 Reorder the terms: -12 + 2t + -7(-3 + -2t) = 15(t + 2) + 3 -12 + 2t + (-3 * -7 + -2t * -7) = 15(t + 2) + 3 -12 + 2t + (21 + 14t) = 15(t + 2) + 3 Reorder the terms: -12 + 21 + 2t + 14t = 15(t + 2) + 3 Combine like terms: -12 + 21 = 9 9 + 2t + 14t = 15(t + 2) + 3 Combine like terms: 2t + 14t = 16t 9 + 16t = 15(t + 2) + 3 Reorder the terms: 9 + 16t = 15(2 + t) + 3 9 + 16t = (2 * 15 + t * 15) + 3 9 + 16t = (30 + 15t) + 3 Reorder the terms: 9 + 16t = 30 + 3 + 15t Combine like terms: 30 + 3 = 33 9 + 16t = 33 + 15t Solving 9 + 16t = 33 + 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. 9 + 16t + -15t = 33 + 15t + -15t Combine like terms: 16t + -15t = 1t 9 + 1t = 33 + 15t + -15t Combine like terms: 15t + -15t = 0 9 + 1t = 33 + 0 9 + 1t = 33 Add '-9' to each side of the equation. 9 + -9 + 1t = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 1t = 33 + -9 1t = 33 + -9 Combine like terms: 33 + -9 = 24 1t = 24 Divide each side by '1'. t = 24 Simplifying t = 24
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