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Simplifying -4(t + -8) + -1(t + 3) = 6 Reorder the terms: -4(-8 + t) + -1(t + 3) = 6 (-8 * -4 + t * -4) + -1(t + 3) = 6 (32 + -4t) + -1(t + 3) = 6 Reorder the terms: 32 + -4t + -1(3 + t) = 6 32 + -4t + (3 * -1 + t * -1) = 6 32 + -4t + (-3 + -1t) = 6 Reorder the terms: 32 + -3 + -4t + -1t = 6 Combine like terms: 32 + -3 = 29 29 + -4t + -1t = 6 Combine like terms: -4t + -1t = -5t 29 + -5t = 6 Solving 29 + -5t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -5t = 6 + -29 Combine like terms: 29 + -29 = 0 0 + -5t = 6 + -29 -5t = 6 + -29 Combine like terms: 6 + -29 = -23 -5t = -23 Divide each side by '-5'. t = 4.6 Simplifying t = 4.6
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