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Simplifying 2(t + -4) + -3(2t) = 9 + -5(6t + 1) Reorder the terms: 2(-4 + t) + -3(2t) = 9 + -5(6t + 1) (-4 * 2 + t * 2) + -3(2t) = 9 + -5(6t + 1) (-8 + 2t) + -3(2t) = 9 + -5(6t + 1) Remove parenthesis around (2t) -8 + 2t + -3 * 2t = 9 + -5(6t + 1) Multiply -3 * 2 -8 + 2t + -6t = 9 + -5(6t + 1) Combine like terms: 2t + -6t = -4t -8 + -4t = 9 + -5(6t + 1) Reorder the terms: -8 + -4t = 9 + -5(1 + 6t) -8 + -4t = 9 + (1 * -5 + 6t * -5) -8 + -4t = 9 + (-5 + -30t) Combine like terms: 9 + -5 = 4 -8 + -4t = 4 + -30t Solving -8 + -4t = 4 + -30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30t' to each side of the equation. -8 + -4t + 30t = 4 + -30t + 30t Combine like terms: -4t + 30t = 26t -8 + 26t = 4 + -30t + 30t Combine like terms: -30t + 30t = 0 -8 + 26t = 4 + 0 -8 + 26t = 4 Add '8' to each side of the equation. -8 + 8 + 26t = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 26t = 4 + 8 26t = 4 + 8 Combine like terms: 4 + 8 = 12 26t = 12 Divide each side by '26'. t = 0.4615384615 Simplifying t = 0.4615384615
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