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Simplifying -4(t + -4) + 9t = 7t + -6 Reorder the terms: -4(-4 + t) + 9t = 7t + -6 (-4 * -4 + t * -4) + 9t = 7t + -6 (16 + -4t) + 9t = 7t + -6 Combine like terms: -4t + 9t = 5t 16 + 5t = 7t + -6 Reorder the terms: 16 + 5t = -6 + 7t Solving 16 + 5t = -6 + 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. 16 + 5t + -7t = -6 + 7t + -7t Combine like terms: 5t + -7t = -2t 16 + -2t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 16 + -2t = -6 + 0 16 + -2t = -6 Add '-16' to each side of the equation. 16 + -16 + -2t = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -2t = -6 + -16 -2t = -6 + -16 Combine like terms: -6 + -16 = -22 -2t = -22 Divide each side by '-2'. t = 11 Simplifying t = 11
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