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Simplifying -1(q + 1) = -1(4 + q) + 7q Reorder the terms: -1(1 + q) = -1(4 + q) + 7q (1 * -1 + q * -1) = -1(4 + q) + 7q (-1 + -1q) = -1(4 + q) + 7q -1 + -1q = (4 * -1 + q * -1) + 7q -1 + -1q = (-4 + -1q) + 7q Combine like terms: -1q + 7q = 6q -1 + -1q = -4 + 6q Solving -1 + -1q = -4 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -1 + -1q + -6q = -4 + 6q + -6q Combine like terms: -1q + -6q = -7q -1 + -7q = -4 + 6q + -6q Combine like terms: 6q + -6q = 0 -1 + -7q = -4 + 0 -1 + -7q = -4 Add '1' to each side of the equation. -1 + 1 + -7q = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -7q = -4 + 1 -7q = -4 + 1 Combine like terms: -4 + 1 = -3 -7q = -3 Divide each side by '-7'. q = 0.4285714286 Simplifying q = 0.4285714286
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