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Simplifying -5(t + -5) + 7 = 6t + -3 Reorder the terms: -5(-5 + t) + 7 = 6t + -3 (-5 * -5 + t * -5) + 7 = 6t + -3 (25 + -5t) + 7 = 6t + -3 Reorder the terms: 25 + 7 + -5t = 6t + -3 Combine like terms: 25 + 7 = 32 32 + -5t = 6t + -3 Reorder the terms: 32 + -5t = -3 + 6t Solving 32 + -5t = -3 + 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. 32 + -5t + -6t = -3 + 6t + -6t Combine like terms: -5t + -6t = -11t 32 + -11t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 32 + -11t = -3 + 0 32 + -11t = -3 Add '-32' to each side of the equation. 32 + -32 + -11t = -3 + -32 Combine like terms: 32 + -32 = 0 0 + -11t = -3 + -32 -11t = -3 + -32 Combine like terms: -3 + -32 = -35 -11t = -35 Divide each side by '-11'. t = 3.181818182 Simplifying t = 3.181818182
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