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Simplifying 5(g + 22) + -15g = 34 + 9g + 14 + -6g Reorder the terms: 5(22 + g) + -15g = 34 + 9g + 14 + -6g (22 * 5 + g * 5) + -15g = 34 + 9g + 14 + -6g (110 + 5g) + -15g = 34 + 9g + 14 + -6g Combine like terms: 5g + -15g = -10g 110 + -10g = 34 + 9g + 14 + -6g Reorder the terms: 110 + -10g = 34 + 14 + 9g + -6g Combine like terms: 34 + 14 = 48 110 + -10g = 48 + 9g + -6g Combine like terms: 9g + -6g = 3g 110 + -10g = 48 + 3g Solving 110 + -10g = 48 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. 110 + -10g + -3g = 48 + 3g + -3g Combine like terms: -10g + -3g = -13g 110 + -13g = 48 + 3g + -3g Combine like terms: 3g + -3g = 0 110 + -13g = 48 + 0 110 + -13g = 48 Add '-110' to each side of the equation. 110 + -110 + -13g = 48 + -110 Combine like terms: 110 + -110 = 0 0 + -13g = 48 + -110 -13g = 48 + -110 Combine like terms: 48 + -110 = -62 -13g = -62 Divide each side by '-13'. g = 4.769230769 Simplifying g = 4.769230769
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