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Simplifying -4(2t + -4) + 2t = 5t + -7 Reorder the terms: -4(-4 + 2t) + 2t = 5t + -7 (-4 * -4 + 2t * -4) + 2t = 5t + -7 (16 + -8t) + 2t = 5t + -7 Combine like terms: -8t + 2t = -6t 16 + -6t = 5t + -7 Reorder the terms: 16 + -6t = -7 + 5t Solving 16 + -6t = -7 + 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 + -6t + -5t = -7 + 5t + -5t Combine like terms: -6t + -5t = -11t 16 + -11t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 16 + -11t = -7 + 0 16 + -11t = -7 Add '-16' to each side of the equation. 16 + -16 + -11t = -7 + -16 Combine like terms: 16 + -16 = 0 0 + -11t = -7 + -16 -11t = -7 + -16 Combine like terms: -7 + -16 = -23 -11t = -23 Divide each side by '-11'. t = 2.090909091 Simplifying t = 2.090909091
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