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Simplifying 5(t + 11) + 5 = 7t + -4 Reorder the terms: 5(11 + t) + 5 = 7t + -4 (11 * 5 + t * 5) + 5 = 7t + -4 (55 + 5t) + 5 = 7t + -4 Reorder the terms: 55 + 5 + 5t = 7t + -4 Combine like terms: 55 + 5 = 60 60 + 5t = 7t + -4 Reorder the terms: 60 + 5t = -4 + 7t Solving 60 + 5t = -4 + 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. 60 + 5t + -7t = -4 + 7t + -7t Combine like terms: 5t + -7t = -2t 60 + -2t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 60 + -2t = -4 + 0 60 + -2t = -4 Add '-60' to each side of the equation. 60 + -60 + -2t = -4 + -60 Combine like terms: 60 + -60 = 0 0 + -2t = -4 + -60 -2t = -4 + -60 Combine like terms: -4 + -60 = -64 -2t = -64 Divide each side by '-2'. t = 32 Simplifying t = 32
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