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Simplifying 4(t + -5) + -1(7t + 1) = 0 Reorder the terms: 4(-5 + t) + -1(7t + 1) = 0 (-5 * 4 + t * 4) + -1(7t + 1) = 0 (-20 + 4t) + -1(7t + 1) = 0 Reorder the terms: -20 + 4t + -1(1 + 7t) = 0 -20 + 4t + (1 * -1 + 7t * -1) = 0 -20 + 4t + (-1 + -7t) = 0 Reorder the terms: -20 + -1 + 4t + -7t = 0 Combine like terms: -20 + -1 = -21 -21 + 4t + -7t = 0 Combine like terms: 4t + -7t = -3t -21 + -3t = 0 Solving -21 + -3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -3t = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -3t = 0 + 21 -3t = 0 + 21 Combine like terms: 0 + 21 = 21 -3t = 21 Divide each side by '-3'. t = -7 Simplifying t = -7
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