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Simplifying 2(t + -3) + -3(2t + -7) = 21 + -5(3t + 4) Reorder the terms: 2(-3 + t) + -3(2t + -7) = 21 + -5(3t + 4) (-3 * 2 + t * 2) + -3(2t + -7) = 21 + -5(3t + 4) (-6 + 2t) + -3(2t + -7) = 21 + -5(3t + 4) Reorder the terms: -6 + 2t + -3(-7 + 2t) = 21 + -5(3t + 4) -6 + 2t + (-7 * -3 + 2t * -3) = 21 + -5(3t + 4) -6 + 2t + (21 + -6t) = 21 + -5(3t + 4) Reorder the terms: -6 + 21 + 2t + -6t = 21 + -5(3t + 4) Combine like terms: -6 + 21 = 15 15 + 2t + -6t = 21 + -5(3t + 4) Combine like terms: 2t + -6t = -4t 15 + -4t = 21 + -5(3t + 4) Reorder the terms: 15 + -4t = 21 + -5(4 + 3t) 15 + -4t = 21 + (4 * -5 + 3t * -5) 15 + -4t = 21 + (-20 + -15t) Combine like terms: 21 + -20 = 1 15 + -4t = 1 + -15t Solving 15 + -4t = 1 + -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. 15 + -4t + 15t = 1 + -15t + 15t Combine like terms: -4t + 15t = 11t 15 + 11t = 1 + -15t + 15t Combine like terms: -15t + 15t = 0 15 + 11t = 1 + 0 15 + 11t = 1 Add '-15' to each side of the equation. 15 + -15 + 11t = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 11t = 1 + -15 11t = 1 + -15 Combine like terms: 1 + -15 = -14 11t = -14 Divide each side by '11'. t = -1.272727273 Simplifying t = -1.272727273
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