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Simplifying -7.6q + 1.7 = -29.8 + -1.3q Reorder the terms: 1.7 + -7.6q = -29.8 + -1.3q Solving 1.7 + -7.6q = -29.8 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. 1.7 + -7.6q + 1.3q = -29.8 + -1.3q + 1.3q Combine like terms: -7.6q + 1.3q = -6.3q 1.7 + -6.3q = -29.8 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 1.7 + -6.3q = -29.8 + 0.0 1.7 + -6.3q = -29.8 Add '-1.7' to each side of the equation. 1.7 + -1.7 + -6.3q = -29.8 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -6.3q = -29.8 + -1.7 -6.3q = -29.8 + -1.7 Combine like terms: -29.8 + -1.7 = -31.5 -6.3q = -31.5 Divide each side by '-6.3'. q = 5 Simplifying q = 5
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