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Simplifying 8(-6q + -5) + -7(1 + -5q) = 0 Reorder the terms: 8(-5 + -6q) + -7(1 + -5q) = 0 (-5 * 8 + -6q * 8) + -7(1 + -5q) = 0 (-40 + -48q) + -7(1 + -5q) = 0 -40 + -48q + (1 * -7 + -5q * -7) = 0 -40 + -48q + (-7 + 35q) = 0 Reorder the terms: -40 + -7 + -48q + 35q = 0 Combine like terms: -40 + -7 = -47 -47 + -48q + 35q = 0 Combine like terms: -48q + 35q = -13q -47 + -13q = 0 Solving -47 + -13q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -13q = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -13q = 0 + 47 -13q = 0 + 47 Combine like terms: 0 + 47 = 47 -13q = 47 Divide each side by '-13'. q = -3.615384615 Simplifying q = -3.615384615
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