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Simplifying 4(t + -2) + 6 = 5(2t + 3) + -13 Reorder the terms: 4(-2 + t) + 6 = 5(2t + 3) + -13 (-2 * 4 + t * 4) + 6 = 5(2t + 3) + -13 (-8 + 4t) + 6 = 5(2t + 3) + -13 Reorder the terms: -8 + 6 + 4t = 5(2t + 3) + -13 Combine like terms: -8 + 6 = -2 -2 + 4t = 5(2t + 3) + -13 Reorder the terms: -2 + 4t = 5(3 + 2t) + -13 -2 + 4t = (3 * 5 + 2t * 5) + -13 -2 + 4t = (15 + 10t) + -13 Reorder the terms: -2 + 4t = 15 + -13 + 10t Combine like terms: 15 + -13 = 2 -2 + 4t = 2 + 10t Solving -2 + 4t = 2 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -2 + 4t + -10t = 2 + 10t + -10t Combine like terms: 4t + -10t = -6t -2 + -6t = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -2 + -6t = 2 + 0 -2 + -6t = 2 Add '2' to each side of the equation. -2 + 2 + -6t = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -6t = 2 + 2 -6t = 2 + 2 Combine like terms: 2 + 2 = 4 -6t = 4 Divide each side by '-6'. t = -0.6666666667 Simplifying t = -0.6666666667
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