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Simplifying -4(5t + -5) + 5t = 2t + -7 Reorder the terms: -4(-5 + 5t) + 5t = 2t + -7 (-5 * -4 + 5t * -4) + 5t = 2t + -7 (20 + -20t) + 5t = 2t + -7 Combine like terms: -20t + 5t = -15t 20 + -15t = 2t + -7 Reorder the terms: 20 + -15t = -7 + 2t Solving 20 + -15t = -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. 20 + -15t + -2t = -7 + 2t + -2t Combine like terms: -15t + -2t = -17t 20 + -17t = -7 + 2t + -2t Combine like terms: 2t + -2t = 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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