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Simplifying 14g + 10.5g + -10.58 = -3(-15.3g + -18.44) Reorder the terms: -10.58 + 14g + 10.5g = -3(-15.3g + -18.44) Combine like terms: 14g + 10.5g = 24.5g -10.58 + 24.5g = -3(-15.3g + -18.44) Reorder the terms: -10.58 + 24.5g = -3(-18.44 + -15.3g) -10.58 + 24.5g = (-18.44 * -3 + -15.3g * -3) -10.58 + 24.5g = (55.32 + 45.9g) Solving -10.58 + 24.5g = 55.32 + 45.9g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-45.9g' to each side of the equation. -10.58 + 24.5g + -45.9g = 55.32 + 45.9g + -45.9g Combine like terms: 24.5g + -45.9g = -21.4g -10.58 + -21.4g = 55.32 + 45.9g + -45.9g Combine like terms: 45.9g + -45.9g = 0.0 -10.58 + -21.4g = 55.32 + 0.0 -10.58 + -21.4g = 55.32 Add '10.58' to each side of the equation. -10.58 + 10.58 + -21.4g = 55.32 + 10.58 Combine like terms: -10.58 + 10.58 = 0.00 0.00 + -21.4g = 55.32 + 10.58 -21.4g = 55.32 + 10.58 Combine like terms: 55.32 + 10.58 = 65.9 -21.4g = 65.9 Divide each side by '-21.4'. g = -3.079439252 Simplifying g = -3.079439252
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