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Simplifying 72 + 8(21q + 83) = -100 + 96q + -100 Reorder the terms: 72 + 8(83 + 21q) = -100 + 96q + -100 72 + (83 * 8 + 21q * 8) = -100 + 96q + -100 72 + (664 + 168q) = -100 + 96q + -100 Combine like terms: 72 + 664 = 736 736 + 168q = -100 + 96q + -100 Reorder the terms: 736 + 168q = -100 + -100 + 96q Combine like terms: -100 + -100 = -200 736 + 168q = -200 + 96q Solving 736 + 168q = -200 + 96q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-96q' to each side of the equation. 736 + 168q + -96q = -200 + 96q + -96q Combine like terms: 168q + -96q = 72q 736 + 72q = -200 + 96q + -96q Combine like terms: 96q + -96q = 0 736 + 72q = -200 + 0 736 + 72q = -200 Add '-736' to each side of the equation. 736 + -736 + 72q = -200 + -736 Combine like terms: 736 + -736 = 0 0 + 72q = -200 + -736 72q = -200 + -736 Combine like terms: -200 + -736 = -936 72q = -936 Divide each side by '72'. q = -13 Simplifying q = -13
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