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Simplifying 7q + -1(3q + 10) = 5 + -1(4q + -4) Reorder the terms: 7q + -1(10 + 3q) = 5 + -1(4q + -4) 7q + (10 * -1 + 3q * -1) = 5 + -1(4q + -4) 7q + (-10 + -3q) = 5 + -1(4q + -4) Reorder the terms: -10 + 7q + -3q = 5 + -1(4q + -4) Combine like terms: 7q + -3q = 4q -10 + 4q = 5 + -1(4q + -4) Reorder the terms: -10 + 4q = 5 + -1(-4 + 4q) -10 + 4q = 5 + (-4 * -1 + 4q * -1) -10 + 4q = 5 + (4 + -4q) Combine like terms: 5 + 4 = 9 -10 + 4q = 9 + -4q Solving -10 + 4q = 9 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. -10 + 4q + 4q = 9 + -4q + 4q Combine like terms: 4q + 4q = 8q -10 + 8q = 9 + -4q + 4q Combine like terms: -4q + 4q = 0 -10 + 8q = 9 + 0 -10 + 8q = 9 Add '10' to each side of the equation. -10 + 10 + 8q = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 8q = 9 + 10 8q = 9 + 10 Combine like terms: 9 + 10 = 19 8q = 19 Divide each side by '8'. q = 2.375 Simplifying q = 2.375
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