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Simplifying -4(5t + -3) + 9t = 2t + -7 Reorder the terms: -4(-3 + 5t) + 9t = 2t + -7 (-3 * -4 + 5t * -4) + 9t = 2t + -7 (12 + -20t) + 9t = 2t + -7 Combine like terms: -20t + 9t = -11t 12 + -11t = 2t + -7 Reorder the terms: 12 + -11t = -7 + 2t Solving 12 + -11t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 12 + -11t + -2t = -7 + 2t + -2t Combine like terms: -11t + -2t = -13t 12 + -13t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + -13t = -7 + 0 12 + -13t = -7 Add '-12' to each side of the equation. 12 + -12 + -13t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -13t = -7 + -12 -13t = -7 + -12 Combine like terms: -7 + -12 = -19 -13t = -19 Divide each side by '-13'. t = 1.461538462 Simplifying t = 1.461538462
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