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Simplifying -7(-5g + -19) + 19 = -6(-18g + -1) Reorder the terms: -7(-19 + -5g) + 19 = -6(-18g + -1) (-19 * -7 + -5g * -7) + 19 = -6(-18g + -1) (133 + 35g) + 19 = -6(-18g + -1) Reorder the terms: 133 + 19 + 35g = -6(-18g + -1) Combine like terms: 133 + 19 = 152 152 + 35g = -6(-18g + -1) Reorder the terms: 152 + 35g = -6(-1 + -18g) 152 + 35g = (-1 * -6 + -18g * -6) 152 + 35g = (6 + 108g) Solving 152 + 35g = 6 + 108g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-108g' to each side of the equation. 152 + 35g + -108g = 6 + 108g + -108g Combine like terms: 35g + -108g = -73g 152 + -73g = 6 + 108g + -108g Combine like terms: 108g + -108g = 0 152 + -73g = 6 + 0 152 + -73g = 6 Add '-152' to each side of the equation. 152 + -152 + -73g = 6 + -152 Combine like terms: 152 + -152 = 0 0 + -73g = 6 + -152 -73g = 6 + -152 Combine like terms: 6 + -152 = -146 -73g = -146 Divide each side by '-73'. g = 2 Simplifying g = 2
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