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Simplifying 10(g + 5) = 21(g + 9) Reorder the terms: 10(5 + g) = 21(g + 9) (5 * 10 + g * 10) = 21(g + 9) (50 + 10g) = 21(g + 9) Reorder the terms: 50 + 10g = 21(9 + g) 50 + 10g = (9 * 21 + g * 21) 50 + 10g = (189 + 21g) Solving 50 + 10g = 189 + 21g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-21g' to each side of the equation. 50 + 10g + -21g = 189 + 21g + -21g Combine like terms: 10g + -21g = -11g 50 + -11g = 189 + 21g + -21g Combine like terms: 21g + -21g = 0 50 + -11g = 189 + 0 50 + -11g = 189 Add '-50' to each side of the equation. 50 + -50 + -11g = 189 + -50 Combine like terms: 50 + -50 = 0 0 + -11g = 189 + -50 -11g = 189 + -50 Combine like terms: 189 + -50 = 139 -11g = 139 Divide each side by '-11'. g = -12.63636364 Simplifying g = -12.63636364
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