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Simplifying 4(t + -5) + (7t + 1) = 0 Reorder the terms: 4(-5 + t) + (7t + 1) = 0 (-5 * 4 + t * 4) + (7t + 1) = 0 (-20 + 4t) + (7t + 1) = 0 Reorder the terms: -20 + 4t + (1 + 7t) = 0 Remove parenthesis around (1 + 7t) -20 + 4t + 1 + 7t = 0 Reorder the terms: -20 + 1 + 4t + 7t = 0 Combine like terms: -20 + 1 = -19 -19 + 4t + 7t = 0 Combine like terms: 4t + 7t = 11t -19 + 11t = 0 Solving -19 + 11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 11t = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 11t = 0 + 19 11t = 0 + 19 Combine like terms: 0 + 19 = 19 11t = 19 Divide each side by '11'. t = 1.727272727 Simplifying t = 1.727272727
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