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Simplifying 7(5q + -6) = 2q + 1 Reorder the terms: 7(-6 + 5q) = 2q + 1 (-6 * 7 + 5q * 7) = 2q + 1 (-42 + 35q) = 2q + 1 Reorder the terms: -42 + 35q = 1 + 2q Solving -42 + 35q = 1 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -42 + 35q + -2q = 1 + 2q + -2q Combine like terms: 35q + -2q = 33q -42 + 33q = 1 + 2q + -2q Combine like terms: 2q + -2q = 0 -42 + 33q = 1 + 0 -42 + 33q = 1 Add '42' to each side of the equation. -42 + 42 + 33q = 1 + 42 Combine like terms: -42 + 42 = 0 0 + 33q = 1 + 42 33q = 1 + 42 Combine like terms: 1 + 42 = 43 33q = 43 Divide each side by '33'. q = 1.303030303 Simplifying q = 1.303030303
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