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Simplifying 8t + -5(3 + 4t) = 6t + 7 + -7t 8t + (3 * -5 + 4t * -5) = 6t + 7 + -7t 8t + (-15 + -20t) = 6t + 7 + -7t Reorder the terms: -15 + 8t + -20t = 6t + 7 + -7t Combine like terms: 8t + -20t = -12t -15 + -12t = 6t + 7 + -7t Reorder the terms: -15 + -12t = 7 + 6t + -7t Combine like terms: 6t + -7t = -1t -15 + -12t = 7 + -1t Solving -15 + -12t = 7 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -15 + -12t + t = 7 + -1t + t Combine like terms: -12t + t = -11t -15 + -11t = 7 + -1t + t Combine like terms: -1t + t = 0 -15 + -11t = 7 + 0 -15 + -11t = 7 Add '15' to each side of the equation. -15 + 15 + -11t = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -11t = 7 + 15 -11t = 7 + 15 Combine like terms: 7 + 15 = 22 -11t = 22 Divide each side by '-11'. t = -2 Simplifying t = -2
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