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Simplifying -4(t + -2) + 6t = -9t + -7 Reorder the terms: -4(-2 + t) + 6t = -9t + -7 (-2 * -4 + t * -4) + 6t = -9t + -7 (8 + -4t) + 6t = -9t + -7 Combine like terms: -4t + 6t = 2t 8 + 2t = -9t + -7 Reorder the terms: 8 + 2t = -7 + -9t Solving 8 + 2t = -7 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. 8 + 2t + 9t = -7 + -9t + 9t Combine like terms: 2t + 9t = 11t 8 + 11t = -7 + -9t + 9t Combine like terms: -9t + 9t = 0 8 + 11t = -7 + 0 8 + 11t = -7 Add '-8' to each side of the equation. 8 + -8 + 11t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 11t = -7 + -8 11t = -7 + -8 Combine like terms: -7 + -8 = -15 11t = -15 Divide each side by '11'. t = -1.363636364 Simplifying t = -1.363636364
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