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Simplifying (-5 + -6) + -1(8t + 3) = -3t + 49 Combine like terms: -5 + -6 = -11 (-11) + -1(8t + 3) = -3t + 49 -11 + -1(8t + 3) = -3t + 49 Reorder the terms: -11 + -1(3 + 8t) = -3t + 49 -11 + (3 * -1 + 8t * -1) = -3t + 49 -11 + (-3 + -8t) = -3t + 49 Combine like terms: -11 + -3 = -14 -14 + -8t = -3t + 49 Reorder the terms: -14 + -8t = 49 + -3t Solving -14 + -8t = 49 + -3t 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. -14 + -8t + 3t = 49 + -3t + 3t Combine like terms: -8t + 3t = -5t -14 + -5t = 49 + -3t + 3t Combine like terms: -3t + 3t = 0 -14 + -5t = 49 + 0 -14 + -5t = 49 Add '14' to each side of the equation. -14 + 14 + -5t = 49 + 14 Combine like terms: -14 + 14 = 0 0 + -5t = 49 + 14 -5t = 49 + 14 Combine like terms: 49 + 14 = 63 -5t = 63 Divide each side by '-5'. t = -12.6 Simplifying t = -12.6
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