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Simplifying -10q + -1(1 + -4q) + -2 = 5 -10q + (1 * -1 + -4q * -1) + -2 = 5 -10q + (-1 + 4q) + -2 = 5 Reorder the terms: -1 + -2 + -10q + 4q = 5 Combine like terms: -1 + -2 = -3 -3 + -10q + 4q = 5 Combine like terms: -10q + 4q = -6q -3 + -6q = 5 Solving -3 + -6q = 5 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -6q = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -6q = 5 + 3 -6q = 5 + 3 Combine like terms: 5 + 3 = 8 -6q = 8 Divide each side by '-6'. q = -1.333333333 Simplifying q = -1.333333333
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