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Simplifying -5(t + -3) + 9t = 6t + -7 Reorder the terms: -5(-3 + t) + 9t = 6t + -7 (-3 * -5 + t * -5) + 9t = 6t + -7 (15 + -5t) + 9t = 6t + -7 Combine like terms: -5t + 9t = 4t 15 + 4t = 6t + -7 Reorder the terms: 15 + 4t = -7 + 6t Solving 15 + 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. 15 + 4t + -6t = -7 + 6t + -6t Combine like terms: 4t + -6t = -2t 15 + -2t = -7 + 6t + -6t Combine like terms: 6t + -6t = 0 15 + -2t = -7 + 0 15 + -2t = -7 Add '-15' to each side of the equation. 15 + -15 + -2t = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -2t = -7 + -15 -2t = -7 + -15 Combine like terms: -7 + -15 = -22 -2t = -22 Divide each side by '-2'. t = 11 Simplifying t = 11
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