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Simplifying -4(t + -2) = 7(t + -2) Reorder the terms: -4(-2 + t) = 7(t + -2) (-2 * -4 + t * -4) = 7(t + -2) (8 + -4t) = 7(t + -2) Reorder the terms: 8 + -4t = 7(-2 + t) 8 + -4t = (-2 * 7 + t * 7) 8 + -4t = (-14 + 7t) Solving 8 + -4t = -14 + 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. 8 + -4t + -7t = -14 + 7t + -7t Combine like terms: -4t + -7t = -11t 8 + -11t = -14 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -11t = -14 + 0 8 + -11t = -14 Add '-8' to each side of the equation. 8 + -8 + -11t = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -11t = -14 + -8 -11t = -14 + -8 Combine like terms: -14 + -8 = -22 -11t = -22 Divide each side by '-11'. t = 2 Simplifying t = 2
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