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Simplifying -4(t + -3) + -9t = 7t + -8 Reorder the terms: -4(-3 + t) + -9t = 7t + -8 (-3 * -4 + t * -4) + -9t = 7t + -8 (12 + -4t) + -9t = 7t + -8 Combine like terms: -4t + -9t = -13t 12 + -13t = 7t + -8 Reorder the terms: 12 + -13t = -8 + 7t Solving 12 + -13t = -8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 12 + -13t + -7t = -8 + 7t + -7t Combine like terms: -13t + -7t = -20t 12 + -20t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 12 + -20t = -8 + 0 12 + -20t = -8 Add '-12' to each side of the equation. 12 + -12 + -20t = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -20t = -8 + -12 -20t = -8 + -12 Combine like terms: -8 + -12 = -20 -20t = -20 Divide each side by '-20'. t = 1 Simplifying t = 1
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