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Simplifying -4(5t + -3) + 7t = 4t + -7 Reorder the terms: -4(-3 + 5t) + 7t = 4t + -7 (-3 * -4 + 5t * -4) + 7t = 4t + -7 (12 + -20t) + 7t = 4t + -7 Combine like terms: -20t + 7t = -13t 12 + -13t = 4t + -7 Reorder the terms: 12 + -13t = -7 + 4t Solving 12 + -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. 12 + -13t + -4t = -7 + 4t + -4t Combine like terms: -13t + -4t = -17t 12 + -17t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -17t = -7 + 0 12 + -17t = -7 Add '-12' to each side of the equation. 12 + -12 + -17t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -17t = -7 + -12 -17t = -7 + -12 Combine like terms: -7 + -12 = -19 -17t = -19 Divide each side by '-17'. t = 1.117647059 Simplifying t = 1.117647059
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