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Simplifying -4(t + -2) + 9t = 7t + -7 Reorder the terms: -4(-2 + t) + 9t = 7t + -7 (-2 * -4 + t * -4) + 9t = 7t + -7 (8 + -4t) + 9t = 7t + -7 Combine like terms: -4t + 9t = 5t 8 + 5t = 7t + -7 Reorder the terms: 8 + 5t = -7 + 7t Solving 8 + 5t = -7 + 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 + 5t + -7t = -7 + 7t + -7t Combine like terms: 5t + -7t = -2t 8 + -2t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -2t = -7 + 0 8 + -2t = -7 Add '-8' to each side of the equation. 8 + -8 + -2t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = -7 + -8 -2t = -7 + -8 Combine like terms: -7 + -8 = -15 -2t = -15 Divide each side by '-2'. t = 7.5 Simplifying t = 7.5
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