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Simplifying -4(t + -4) + 6t = 5t + -6 Reorder the terms: -4(-4 + t) + 6t = 5t + -6 (-4 * -4 + t * -4) + 6t = 5t + -6 (16 + -4t) + 6t = 5t + -6 Combine like terms: -4t + 6t = 2t 16 + 2t = 5t + -6 Reorder the terms: 16 + 2t = -6 + 5t Solving 16 + 2t = -6 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 16 + 2t + -5t = -6 + 5t + -5t Combine like terms: 2t + -5t = -3t 16 + -3t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 16 + -3t = -6 + 0 16 + -3t = -6 Add '-16' to each side of the equation. 16 + -16 + -3t = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -3t = -6 + -16 -3t = -6 + -16 Combine like terms: -6 + -16 = -22 -3t = -22 Divide each side by '-3'. t = 7.333333333 Simplifying t = 7.333333333
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