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Simplifying 5(4g + 6) + -7(2x + 1) = 59 Reorder the terms: 5(6 + 4g) + -7(2x + 1) = 59 (6 * 5 + 4g * 5) + -7(2x + 1) = 59 (30 + 20g) + -7(2x + 1) = 59 Reorder the terms: 30 + 20g + -7(1 + 2x) = 59 30 + 20g + (1 * -7 + 2x * -7) = 59 30 + 20g + (-7 + -14x) = 59 Reorder the terms: 30 + -7 + 20g + -14x = 59 Combine like terms: 30 + -7 = 23 23 + 20g + -14x = 59 Solving 23 + 20g + -14x = 59 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 20g + -23 + -14x = 59 + -23 Reorder the terms: 23 + -23 + 20g + -14x = 59 + -23 Combine like terms: 23 + -23 = 0 0 + 20g + -14x = 59 + -23 20g + -14x = 59 + -23 Combine like terms: 59 + -23 = 36 20g + -14x = 36 Add '14x' to each side of the equation. 20g + -14x + 14x = 36 + 14x Combine like terms: -14x + 14x = 0 20g + 0 = 36 + 14x 20g = 36 + 14x Divide each side by '20'. g = 1.8 + 0.7x Simplifying g = 1.8 + 0.7x
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