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Simplifying 40 = 8(q + -83) Reorder the terms: 40 = 8(-83 + q) 40 = (-83 * 8 + q * 8) 40 = (-664 + 8q) Solving 40 = -664 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 40 + -8q = -664 + 8q + -8q Combine like terms: 8q + -8q = 0 40 + -8q = -664 + 0 40 + -8q = -664 Add '-40' to each side of the equation. 40 + -40 + -8q = -664 + -40 Combine like terms: 40 + -40 = 0 0 + -8q = -664 + -40 -8q = -664 + -40 Combine like terms: -664 + -40 = -704 -8q = -704 Divide each side by '-8'. q = 88 Simplifying q = 88
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