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Simplifying 8(5 + -6q) + 3(-2g + -2) = 0 (5 * 8 + -6q * 8) + 3(-2g + -2) = 0 (40 + -48q) + 3(-2g + -2) = 0 Reorder the terms: 40 + -48q + 3(-2 + -2g) = 0 40 + -48q + (-2 * 3 + -2g * 3) = 0 40 + -48q + (-6 + -6g) = 0 Reorder the terms: 40 + -6 + -6g + -48q = 0 Combine like terms: 40 + -6 = 34 34 + -6g + -48q = 0 Solving 34 + -6g + -48q = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -6g + -34 + -48q = 0 + -34 Reorder the terms: 34 + -34 + -6g + -48q = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -6g + -48q = 0 + -34 -6g + -48q = 0 + -34 Combine like terms: 0 + -34 = -34 -6g + -48q = -34 Add '48q' to each side of the equation. -6g + -48q + 48q = -34 + 48q Combine like terms: -48q + 48q = 0 -6g + 0 = -34 + 48q -6g = -34 + 48q Divide each side by '-6'. g = 5.666666667 + -8q Simplifying g = 5.666666667 + -8q
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