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Simplifying 10 + -21q = 3q + 2(-5q + -2) Reorder the terms: 10 + -21q = 3q + 2(-2 + -5q) 10 + -21q = 3q + (-2 * 2 + -5q * 2) 10 + -21q = 3q + (-4 + -10q) Reorder the terms: 10 + -21q = -4 + 3q + -10q Combine like terms: 3q + -10q = -7q 10 + -21q = -4 + -7q Solving 10 + -21q = -4 + -7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7q' to each side of the equation. 10 + -21q + 7q = -4 + -7q + 7q Combine like terms: -21q + 7q = -14q 10 + -14q = -4 + -7q + 7q Combine like terms: -7q + 7q = 0 10 + -14q = -4 + 0 10 + -14q = -4 Add '-10' to each side of the equation. 10 + -10 + -14q = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -14q = -4 + -10 -14q = -4 + -10 Combine like terms: -4 + -10 = -14 -14q = -14 Divide each side by '-14'. q = 1 Simplifying q = 1
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