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Simplifying 13q + -42q + 19q + -38 = 32 Reorder the terms: -38 + 13q + -42q + 19q = 32 Combine like terms: 13q + -42q = -29q -38 + -29q + 19q = 32 Combine like terms: -29q + 19q = -10q -38 + -10q = 32 Solving -38 + -10q = 32 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -10q = 32 + 38 Combine like terms: -38 + 38 = 0 0 + -10q = 32 + 38 -10q = 32 + 38 Combine like terms: 32 + 38 = 70 -10q = 70 Divide each side by '-10'. q = -7 Simplifying q = -7
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