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Simplifying 5(t + -2) + (t + -3) = 2(2t + 1) + -9 Reorder the terms: 5(-2 + t) + (t + -3) = 2(2t + 1) + -9 (-2 * 5 + t * 5) + (t + -3) = 2(2t + 1) + -9 (-10 + 5t) + (t + -3) = 2(2t + 1) + -9 Reorder the terms: -10 + 5t + (-3 + t) = 2(2t + 1) + -9 Remove parenthesis around (-3 + t) -10 + 5t + -3 + t = 2(2t + 1) + -9 Reorder the terms: -10 + -3 + 5t + t = 2(2t + 1) + -9 Combine like terms: -10 + -3 = -13 -13 + 5t + t = 2(2t + 1) + -9 Combine like terms: 5t + t = 6t -13 + 6t = 2(2t + 1) + -9 Reorder the terms: -13 + 6t = 2(1 + 2t) + -9 -13 + 6t = (1 * 2 + 2t * 2) + -9 -13 + 6t = (2 + 4t) + -9 Reorder the terms: -13 + 6t = 2 + -9 + 4t Combine like terms: 2 + -9 = -7 -13 + 6t = -7 + 4t Solving -13 + 6t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -13 + 6t + -4t = -7 + 4t + -4t Combine like terms: 6t + -4t = 2t -13 + 2t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 -13 + 2t = -7 + 0 -13 + 2t = -7 Add '13' to each side of the equation. -13 + 13 + 2t = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 2t = -7 + 13 2t = -7 + 13 Combine like terms: -7 + 13 = 6 2t = 6 Divide each side by '2'. t = 3 Simplifying t = 3
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