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Simplifying -5(t + -1) + 9t = 6t + -7 Reorder the terms: -5(-1 + t) + 9t = 6t + -7 (-1 * -5 + t * -5) + 9t = 6t + -7 (5 + -5t) + 9t = 6t + -7 Combine like terms: -5t + 9t = 4t 5 + 4t = 6t + -7 Reorder the terms: 5 + 4t = -7 + 6t Solving 5 + 4t = -7 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 5 + 4t + -6t = -7 + 6t + -6t Combine like terms: 4t + -6t = -2t 5 + -2t = -7 + 6t + -6t Combine like terms: 6t + -6t = 0 5 + -2t = -7 + 0 5 + -2t = -7 Add '-5' to each side of the equation. 5 + -5 + -2t = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = -7 + -5 -2t = -7 + -5 Combine like terms: -7 + -5 = -12 -2t = -12 Divide each side by '-2'. t = 6 Simplifying t = 6
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