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Simplifying -5(3t + -4) + 2t = 4t + -7 Reorder the terms: -5(-4 + 3t) + 2t = 4t + -7 (-4 * -5 + 3t * -5) + 2t = 4t + -7 (20 + -15t) + 2t = 4t + -7 Combine like terms: -15t + 2t = -13t 20 + -13t = 4t + -7 Reorder the terms: 20 + -13t = -7 + 4t Solving 20 + -13t = -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. 20 + -13t + -4t = -7 + 4t + -4t Combine like terms: -13t + -4t = -17t 20 + -17t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + -17t = -7 + 0 20 + -17t = -7 Add '-20' to each side of the equation. 20 + -20 + -17t = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -17t = -7 + -20 -17t = -7 + -20 Combine like terms: -7 + -20 = -27 -17t = -27 Divide each side by '-17'. t = 1.588235294 Simplifying t = 1.588235294
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