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Simplifying 5(t + -4) = 7t + 11 Reorder the terms: 5(-4 + t) = 7t + 11 (-4 * 5 + t * 5) = 7t + 11 (-20 + 5t) = 7t + 11 Reorder the terms: -20 + 5t = 11 + 7t Solving -20 + 5t = 11 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -20 + 5t + -7t = 11 + 7t + -7t Combine like terms: 5t + -7t = -2t -20 + -2t = 11 + 7t + -7t Combine like terms: 7t + -7t = 0 -20 + -2t = 11 + 0 -20 + -2t = 11 Add '20' to each side of the equation. -20 + 20 + -2t = 11 + 20 Combine like terms: -20 + 20 = 0 0 + -2t = 11 + 20 -2t = 11 + 20 Combine like terms: 11 + 20 = 31 -2t = 31 Divide each side by '-2'. t = -15.5 Simplifying t = -15.5
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