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Simplifying 13t + -8(3t + -2) = -7y + -1(12 + -3t) Reorder the terms: 13t + -8(-2 + 3t) = -7y + -1(12 + -3t) 13t + (-2 * -8 + 3t * -8) = -7y + -1(12 + -3t) 13t + (16 + -24t) = -7y + -1(12 + -3t) Reorder the terms: 16 + 13t + -24t = -7y + -1(12 + -3t) Combine like terms: 13t + -24t = -11t 16 + -11t = -7y + -1(12 + -3t) 16 + -11t = -7y + (12 * -1 + -3t * -1) 16 + -11t = -7y + (-12 + 3t) Reorder the terms: 16 + -11t = -12 + 3t + -7y Solving 16 + -11t = -12 + 3t + -7y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 16 + -11t + -3t = -12 + 3t + -3t + -7y Combine like terms: -11t + -3t = -14t 16 + -14t = -12 + 3t + -3t + -7y Combine like terms: 3t + -3t = 0 16 + -14t = -12 + 0 + -7y 16 + -14t = -12 + -7y Add '-16' to each side of the equation. 16 + -16 + -14t = -12 + -16 + -7y Combine like terms: 16 + -16 = 0 0 + -14t = -12 + -16 + -7y -14t = -12 + -16 + -7y Combine like terms: -12 + -16 = -28 -14t = -28 + -7y Divide each side by '-14'. t = 2 + 0.5y Simplifying t = 2 + 0.5y
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